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30644603712 = 2632241220757
BaseRepresentation
bin11100100010100011…
…111000101101000000
32221002200020011102200
4130202203320231000
51000230004304322
622024500113200
72133254555652
oct344243705500
987080204380
1030644603712
1111aa6097378
125b32995800
132b74aa9b08
1416a9cc26d2
15be55078ac
hex7228f8b40

30644603712 has 84 divisors (see below), whose sum is σ = 88202092836. Its totient is φ = 10172436480.

The previous prime is 30644603683. The next prime is 30644603851. The reversal of 30644603712 is 21730644603.

It is a happy number.

30644603712 is a `hidden beast` number, since 3 + 0 + 6 + 44 + 603 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23050526976 + 7594076736 = 151824^2 + 87144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28438 + ... + 249194.

Almost surely, 230644603712 is an apocalyptic number.

30644603712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30644603712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44101046418).

30644603712 is an abundant number, since it is smaller than the sum of its proper divisors (57557489124).

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

30644603712 is a wasteful number, since it uses less digits than its factorization.

30644603712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221016 (or 221003 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 30644603712 in words is "thirty billion, six hundred forty-four million, six hundred three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 241 288 482 576 723 964 1446 1928 2169 2892 3856 4338 5784 7712 8676 11568 15424 17352 23136 34704 46272 69408 138816 220757 441514 662271 883028 1324542 1766056 1986813 2649084 3532112 3973626 5298168 7064224 7947252 10596336 14128448 15894504 21192672 31789008 42385344 53202437 63578016 106404874 127156032 159607311 212809748 319214622 425619496 478821933 638429244 851238992 957643866 1276858488 1702477984 1915287732 2553716976 3404955968 3830575464 5107433952 7661150928 10214867904 15322301856 30644603712