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10672708460 = 2251737848387
BaseRepresentation
bin10011111000010010…
…01001101101101100
31000112210120202122112
421330021021231230
5133324203132320
64523013103152
7525323345051
oct117411115554
930483522575
1010672708460
114587513917
12209a327ab8
13101119260b
14733635028
15426e8dec5
hex27c249b6c

10672708460 has 48 divisors (see below), whose sum is σ = 24372490464. Its totient is φ = 3909362688.

The previous prime is 10672708451. The next prime is 10672708471. The reversal of 10672708460 is 6480727601.

10672708460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106727084602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 411614 + ... + 436773.

It is an arithmetic number, because the mean of its divisors is an integer number (507760218).

Almost surely, 210672708460 is an apocalyptic number.

10672708460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10672708460 is an abundant number, since it is smaller than the sum of its proper divisors (13699782004).

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

10672708460 is a wasteful number, since it uses less digits than its factorization.

10672708460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848450 (or 848448 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 10672708460 in words is "ten billion, six hundred seventy-two million, seven hundred eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 12580 848387 1696774 3393548 4241935 8483870 14422579 16967740 28845158 31390319 57690316 62780638 72112895 125561276 144225790 156951595 288451580 313903190 533635423 627806380 1067270846 2134541692 2668177115 5336354230 10672708460