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10534253040 = 243354876969
BaseRepresentation
bin10011100111110001…
…11111000111110000
31000012011001111112000
421303320333013300
5133033232044130
64501145334000
7522022446663
oct116370770760
930164044460
1010534253040
114516347253
12205ba97300
13cbb5a632c
1471d0b36da
15419c40260
hex273e3f1f0

10534253040 has 80 divisors (see below), whose sum is σ = 36284656800. Its totient is φ = 2809133568.

The previous prime is 10534252979. The next prime is 10534253063. The reversal of 10534253040 is 4035243501.

10534253040 is a `hidden beast` number, since 1 + 0 + 53 + 42 + 530 + 40 = 666.

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

It is a super-2 number, since 2×105342530402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10534252995 and 10534253013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2436325 + ... + 2440644.

It is an arithmetic number, because the mean of its divisors is an integer number (453558210).

Almost surely, 210534253040 is an apocalyptic number.

10534253040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10534253040 is an abundant number, since it is smaller than the sum of its proper divisors (25750403760).

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

10534253040 is a wasteful number, since it uses less digits than its factorization.

10534253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876991 (or 4876979 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10534253040 its reverse (4035243501), we get a palindrome (14569496541).

The spelling of 10534253040 in words is "ten billion, five hundred thirty-four million, two hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 4876969 9753938 14630907 19507876 24384845 29261814 39015752 43892721 48769690 58523628 73154535 78031504 87785442 97539380 117047256 131678163 146309070 175570884 195078760 219463605 234094512 263356326 292618140 351141768 390157520 438927210 526712652 585236280 658390815 702283536 877854420 1053425304 1170472560 1316781630 1755708840 2106850608 2633563260 3511417680 5267126520 10534253040