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352935005896 = 231171891913323
BaseRepresentation
bin1010010001011001001…
…00001100111011001000
31020201222122110221120001
411020230210030323020
521240302330142041
6430045222012344
734333026023524
oct5105444147310
91221878427501
10352935005896
11126751678760
12584992770b4
13273879779c5
141312159ad84
1592a9a5a131
hex522c90cec8

352935005896 has 128 divisors (see below), whose sum is σ = 744405811200. Its totient is φ = 155522752000.

The previous prime is 352935005881. The next prime is 352935005897. The reversal of 352935005896 is 698500539253.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (352935005897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106208091 + ... + 106211413.

It is an arithmetic number, because the mean of its divisors is an integer number (5815670400).

Almost surely, 2352935005896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352935005896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372202905600).

352935005896 is an abundant number, since it is smaller than the sum of its proper divisors (391470805304).

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

352935005896 is a wasteful number, since it uses less digits than its factorization.

352935005896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 55.

The spelling of 352935005896 in words is "three hundred fifty-two billion, nine hundred thirty-five million, five thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 71 88 89 142 178 191 284 356 382 568 712 764 781 979 1528 1562 1958 2101 3124 3323 3916 4202 6248 6319 6646 7832 8404 12638 13292 13561 16808 16999 25276 26584 27122 33998 36553 50552 54244 67996 69509 73106 108488 135992 139018 146212 149171 186989 235933 278036 292424 295747 298342 373978 471866 556072 591494 596684 634693 747956 943732 1182988 1193368 1206929 1269386 1495912 1887464 2365976 2413858 2538772 2595263 3253217 4827716 5077544 5190526 6506434 6981623 9655432 10381052 13012868 13276219 13963246 20762104 20998037 26025736 26552438 27926492 41996074 45063203 53104876 55852984 56487677 83992148 90126406 106209752 112975354 167984296 180252812 225950708 230978407 360505624 451901416 461956814 495695233 621364447 923913628 991390466 1242728894 1847827256 1982780932 2485457788 3965561864 4010625067 4970915576 8021250134 16042500268 32085000536 44116875737 88233751474 176467502948 352935005896