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10037925744 = 2437112246899
BaseRepresentation
bin10010101100100111…
…01001011101110000
3221220120010110110120
421112103221131300
5131024202110434
64340015330240
7503514650430
oct112623513560
927816113416
1010037925744
114291169200
121b41820980
13c3c808b42
146b31d62c0
153db3a0349
hex2564e9770

10037925744 has 120 divisors (see below), whose sum is σ = 32574998400. Its totient is φ = 2607242880.

The previous prime is 10037925743. The next prime is 10037925769. The reversal of 10037925744 is 44752973001.

10037925744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10037925696 and 10037925705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10037925743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82794 + ... + 164105.

It is an arithmetic number, because the mean of its divisors is an integer number (271458320).

Almost surely, 210037925744 is an apocalyptic number.

10037925744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10037925744 is an abundant number, since it is smaller than the sum of its proper divisors (22537072656).

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

10037925744 is a wasteful number, since it uses less digits than its factorization.

10037925744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246939 (or 246922 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 10037925744 in words is "ten billion, thirty-seven million, nine hundred twenty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 5082 5808 6776 10164 13552 20328 40656 246899 493798 740697 987596 1481394 1728293 1975192 2715889 2962788 3456586 3950384 5184879 5431778 5925576 6913172 8147667 10369758 10863556 11851152 13826344 16295334 19011223 20739516 21727112 27652688 29874779 32590668 38022446 41479032 43454224 57033669 59749558 65181336 76044892 82958064 89624337 114067338 119499116 130362672 152089784 179248674 209123453 228134676 238998232 304179568 358497348 418246906 456269352 477996464 627370359 716994696 836493812 912538704 1254740718 1433989392 1672987624 2509481436 3345975248 5018962872 10037925744