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100934902672 = 24171013674101
BaseRepresentation
bin101111000000000110…
…0000110001110010000
3100122112022211022121121
41132000030012032100
53123203313341142
6114211401132024
710202155342162
oct1360014061620
9318468738547
10100934902672
113989613733a
121768aa8a014
1396974067a6
144c572a4932
15295b35cc67
hex1780306390

100934902672 has 40 divisors (see below), whose sum is σ = 209115189432. Its totient is φ = 47028480000.

The previous prime is 100934902669. The next prime is 100934902699. The reversal of 100934902672 is 276209439001.

It can be written as a sum of positive squares in 4 ways, for example, as 38736537856 + 62198364816 = 196816^2 + 249396^2 .

It is a super-2 number, since 2×1009349026722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1809579 + ... + 1864522.

Almost surely, 2100934902672 is an apocalyptic number.

It is an amenable number.

100934902672 is an abundant number, since it is smaller than the sum of its proper divisors (108180286760).

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

100934902672 is a wasteful number, since it uses less digits than its factorization.

100934902672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674227 (or 3674221 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 100934902672 in words is "one hundred billion, nine hundred thirty-four million, nine hundred two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 6868 13736 27472 3674101 7348202 14696404 29392808 58785616 62459717 124919434 249838868 371084201 499677736 742168402 999355472 1484336804 2968673608 5937347216 6308431417 12616862834 25233725668 50467451336 100934902672