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10372749840 = 243451600733
BaseRepresentation
bin10011010100100001…
…11001101000010000
3222202220011021210000
421222100321220100
5132220410443330
64433140010000
7515021630115
oct115220715020
928686137700
1010372749840
114443168532
122015990900
13c93caa5cb
1470587290c
1540a98c560
hex26a439a10

10372749840 has 100 divisors (see below), whose sum is σ = 36026119404. Its totient is φ = 2766064896.

The previous prime is 10372749811. The next prime is 10372749851. The reversal of 10372749840 is 4894727301.

It can be written as a sum of positive squares in 2 ways, for example, as 2083739904 + 8289009936 = 45648^2 + 91044^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 793887 + ... + 806846.

Almost surely, 210372749840 is an apocalyptic number.

10372749840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10372749840 is an abundant number, since it is smaller than the sum of its proper divisors (25653369564).

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

10372749840 is a wasteful number, since it uses less digits than its factorization.

10372749840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600758 (or 1600743 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10372749840 in words is "ten billion, three hundred seventy-two million, seven hundred forty-nine thousand, eight hundred 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 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 1600733 3201466 4802199 6402932 8003665 9604398 12805864 14406597 16007330 19208796 24010995 25611728 28813194 32014660 38417592 43219791 48021990 57626388 64029320 72032985 76835184 86439582 96043980 115252776 128058640 129659373 144065970 172879164 192087960 216098955 230505552 259318746 288131940 345758328 384175920 432197910 518637492 576263880 648296865 691516656 864395820 1037274984 1152527760 1296593730 1728791640 2074549968 2593187460 3457583280 5186374920 10372749840