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38953975872 = 2637157184609
BaseRepresentation
bin100100010001110101…
…101000000001000000
310201112202210000011010
4210101311220001000
51114234204211442
625521210520520
72546213221530
oct442165500100
9121482700133
1038953975872
111557a55a699
127671736140
13389a44c886
141c576bd4c0
15102ec63b9c
hex911d68040

38953975872 has 112 divisors (see below), whose sum is σ = 118540296320. Its totient is φ = 11058757632.

The previous prime is 38953975871. The next prime is 38953975889. The reversal of 38953975872 is 27857935983.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (38953975871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118704 + ... + 303312.

Almost surely, 238953975872 is an apocalyptic number.

38953975872 is a gapful number since it is divisible by the number (32) 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 38953975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270148160).

38953975872 is an abundant number, since it is smaller than the sum of its proper divisors (79586320448).

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

38953975872 is a wasteful number, since it uses less digits than its factorization.

38953975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184788 (or 184778 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 66.

The spelling of 38953975872 in words is "thirty-eight billion, nine hundred fifty-three million, nine hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 157 168 192 224 314 336 448 471 628 672 942 1099 1256 1344 1884 2198 2512 3297 3768 4396 5024 6594 7536 8792 10048 13188 15072 17584 26376 30144 35168 52752 70336 105504 184609 211008 369218 553827 738436 1107654 1292263 1476872 2215308 2584526 2953744 3876789 4430616 5169052 5907488 7753578 8861232 10338104 11814976 15507156 17722464 20676208 28983613 31014312 35444928 41352416 57967226 62028624 82704832 86950839 115934452 124057248 173901678 202885291 231868904 248114496 347803356 405770582 463737808 608655873 695606712 811541164 927475616 1217311746 1391213424 1623082328 1854951232 2434623492 2782426848 3246164656 4869246984 5564853696 6492329312 9738493968 12984658624 19476987936 38953975872