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35342872008 = 23343109331333
BaseRepresentation
bin100000111010100110…
…010110110111001000
310101020002211220220120
4200322212112313020
51034340233401013
624123012223240
72360554312113
oct407246266710
9111202756816
1035342872008
1113a97147934
126a2430ab20
133443282622
1419d3c7d57a
15dbcc0c123
hex83a996dc8

35342872008 has 64 divisors (see below), whose sum is σ = 90497605440. Its totient is φ = 11496086784.

The previous prime is 35342872003. The next prime is 35342872031. The reversal of 35342872008 is 80027824353.

It is a Cunningham number, because it is equal to 1879972-1.

It is a Smith number, since the sum of its digits (42) 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 (35342872003) 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 15 ways as a sum of consecutive naturals, for example, 1112310 + ... + 1143642.

It is an arithmetic number, because the mean of its divisors is an integer number (1414025085).

Almost surely, 235342872008 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 35342872008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45248802720).

35342872008 is an abundant number, since it is smaller than the sum of its proper divisors (55154733432).

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

35342872008 is a wasteful number, since it uses less digits than its factorization.

35342872008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32478 (or 32474 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 35342872008 in words is "thirty-five billion, three hundred forty-two million, eight hundred seventy-two thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1093 2186 3279 4372 6558 8744 13116 26232 31333 46999 62666 93998 93999 125332 140997 187996 187998 250664 281994 375992 375996 563988 751992 1127976 1347319 2694638 4041957 5389276 8083914 10778552 16167828 32335656 34246969 68493938 102740907 136987876 205481814 273975752 410963628 821927256 1472619667 2945239334 4417859001 5890478668 8835718002 11780957336 17671436004 35342872008