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10243816864848 = 243376775003701
BaseRepresentation
bin1001010100010001001100…
…0100001011110001010000
31100021022002012200022002000
42111010103010023301100
52320313314104133343
633441540002354000
72105043221452050
oct225042304136120
940238065608060
1010243816864848
11329a418623316
1211953a165b900
13593cac21a758
14275b3669d560
1512b6e9eebed3
hex9511310bc50

10243816864848 has 160 divisors (see below), whose sum is σ = 33653698763520. Its totient is φ = 2922481036800.

The previous prime is 10243816864843. The next prime is 10243816864849. The reversal of 10243816864848 is 84846861834201.

It is a happy number.

10243816864848 is a `hidden beast` number, since 1 + 0 + 2 + 438 + 1 + 68 + 64 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243816864843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454603 + ... + 4549098.

It is an arithmetic number, because the mean of its divisors is an integer number (210335617272).

Almost surely, 210243816864848 is an apocalyptic number.

10243816864848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10243816864848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826849381760).

10243816864848 is an abundant number, since it is smaller than the sum of its proper divisors (23409881898672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10243816864848 is a wasteful number, since it uses less digits than its factorization.

10243816864848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004402 (or 5004390 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 10243816864848 in words is "ten trillion, two hundred forty-three billion, eight hundred sixteen million, eight hundred sixty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 677 756 1008 1354 1512 2031 2708 3024 4062 4739 5416 6093 8124 9478 10832 12186 14217 16248 18279 18956 24372 28434 32496 36558 37912 42651 48744 56868 73116 75824 85302 97488 113736 127953 146232 170604 227472 255906 292464 341208 511812 682416 1023624 2047248 5003701 10007402 15011103 20014804 30022206 35025907 40029608 45033309 60044412 70051814 80059216 90066618 105077721 120088824 135099927 140103628 180133236 210155442 240177648 270199854 280207256 315233163 360266472 420310884 540399708 560414512 630466326 720532944 840621768 945699489 1080799416 1260932652 1681243536 1891398978 2161598832 2521865304 3387505577 3782797956 5043730608 6775011154 7565595912 10162516731 13550022308 15131191824 20325033462 23712539039 27100044616 30487550193 40650066924 47425078078 54200089232 60975100386 71137617117 81300133848 91462650579 94850156156 121950200772 142275234234 162600267696 182925301158 189700312312 213412851351 243900401544 284550468468 365850602316 379400624624 426825702702 487800803088 569100936936 640238554053 731701204632 853651405404 1138201873872 1280477108106 1463402409264 1707302810808 2560954216212 3414605621616 5121908432424 10243816864848