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10930035670632 = 23321311677388537
BaseRepresentation
bin1001111100001101100011…
…1001001011111001101000
31102200220022222102111100100
42133003120321023321220
52413034203112430012
635125104501105400
72205445321200561
oct237033071137150
942626288374310
1010930035670632
113534447210801
1212863929b8260
1361390c4b87b0
1429b0335a7168
1513e4ae2928dc
hex9f0d8e4be68

10930035670632 has 48 divisors (see below), whose sum is σ = 31879270708740. Its totient is φ = 3363087898368.

The previous prime is 10930035670583. The next prime is 10930035670691. The reversal of 10930035670632 is 23607653003901.

10930035670632 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 0 + 0 + 3 + 5 + 6 + 7 + 0 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10636429913316 + 293605757316 = 3261354^2 + 541854^2 .

It is a super-2 number, since 2×109300356706322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5838693333 + ... + 5838695204.

Almost surely, 210930035670632 is an apocalyptic number.

10930035670632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10930035670632 is an abundant number, since it is smaller than the sum of its proper divisors (20949235038108).

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

10930035670632 is a wasteful number, since it uses less digits than its factorization.

10930035670632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11677388562 (or 11677388555 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 10930035670632 in words is "ten trillion, nine hundred thirty billion, thirty-five million, six hundred seventy thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 11677388537 23354777074 35032165611 46709554148 70064331222 93419108296 105096496833 140128662444 151806050981 210192993666 280257324888 303612101962 420385987332 455418152943 607224203924 840771974664 910836305886 1214448407848 1366254458829 1821672611772 2732508917658 3643345223544 5465017835316 10930035670632