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10245433661040 = 243579753562493
BaseRepresentation
bin1001010100010111001101…
…1011110001011001110000
31100021110020212222001111110
42111011303123301121300
52320330122004123130
633442404240113320
72105131253135424
oct225056333613160
940243225861443
1010245433661040
1132a0078227216
121195773005840
135941a91845a6
14275c4b2c6b84
1512b791e17ab0
hex951736f1670

10245433661040 has 80 divisors (see below), whose sum is σ = 31800695437728. Its totient is φ = 2728687592448.

The previous prime is 10245433661027. The next prime is 10245433661041. The reversal of 10245433661040 is 4016633454201.

10245433661040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102454336610402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10245433661040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10245433661041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26589967 + ... + 26972526.

Almost surely, 210245433661040 is an apocalyptic number.

10245433661040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10245433661040 is an abundant number, since it is smaller than the sum of its proper divisors (21555261776688).

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

10245433661040 is a wasteful number, since it uses less digits than its factorization.

10245433661040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53563306 (or 53563300 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 10245433661040 in words is "ten trillion, two hundred forty-five billion, four hundred thirty-three million, six hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 797 1594 2391 3188 3985 4782 6376 7970 9564 11955 12752 15940 19128 23910 31880 38256 47820 63760 95640 191280 53562493 107124986 160687479 214249972 267812465 321374958 428499944 535624930 642749916 803437395 856999888 1071249860 1285499832 1606874790 2142499720 2570999664 3213749580 4284999440 6427499160 12854998320 42689306921 85378613842 128067920763 170757227684 213446534605 256135841526 341514455368 426893069210 512271683052 640339603815 683028910736 853786138420 1024543366104 1280679207630 1707572276840 2049086732208 2561358415260 3415144553680 5122716830520 10245433661040