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3985016351232 = 29373371099793
BaseRepresentation
bin111001111111010101011…
…110111110101000000000
3112002222000122022110220210
4321333111132332220000
51010242303141214412
612250405150234120
7560623264044660
oct71772536765000
915088018273823
103985016351232
1112a7043928574
125443a5ab5940
1322ba29786087
14dac393741a0
156d9d582583c
hex39fd57bea00

3985016351232 has 160 divisors (see below), whose sum is σ = 12168965457792. Its totient is φ = 1135196504064.

The previous prime is 3985016351179. The next prime is 3985016351291. The reversal of 3985016351232 is 2321536105893.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3073528 + ... + 4173320.

Almost surely, 23985016351232 is an apocalyptic number.

3985016351232 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 3985016351232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084482728896).

3985016351232 is an abundant number, since it is smaller than the sum of its proper divisors (8183949106560).

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

3985016351232 is a wasteful number, since it uses less digits than its factorization.

3985016351232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100158 (or 1100142 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 3985016351232 in words is "three trillion, nine hundred eighty-five billion, sixteen million, three hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 337 384 448 512 672 674 768 896 1011 1344 1348 1536 1792 2022 2359 2688 2696 3584 4044 4718 5376 5392 7077 8088 9436 10752 10784 14154 16176 18872 21568 28308 32352 37744 43136 56616 64704 75488 86272 113232 129408 150976 172544 226464 258816 301952 452928 517632 603904 905856 1099793 1207808 1811712 2199586 3299379 3623424 4399172 6598758 7698551 8798344 13197516 15397102 17596688 23095653 26395032 30794204 35193376 46191306 52790064 61588408 70386752 92382612 105580128 123176816 140773504 184765224 211160256 246353632 281547008 369530448 370630241 422320512 492707264 563094016 739060896 741260482 844641024 985414528 1111890723 1478121792 1482520964 1689282048 1970829056 2223781446 2594411687 2956243584 2965041928 3941658112 4447562892 5188823374 5912487168 5930083856 7783235061 8895125784 10377646748 11824974336 11860167712 15566470122 17790251568 20755293496 23720335424 31132940244 35580503136 41510586992 47440670848 62265880488 71161006272 83021173984 94881341696 124531760976 142322012544 166042347968 189762683392 249063521952 284644025088 332084695936 498127043904 569288050176 664169391872 996254087808 1328338783744 1992508175616 3985016351232