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900149656072 = 23192997331253
BaseRepresentation
bin11010001100101010001…
…10011011101000001000
310012001102222101101202211
431012111012123220020
5104222001302443242
61525304551034504
7122014355555422
oct15062506335010
93161388341684
10900149656072
1131782a0176a7
1212655636ba34
1366b647975b4
14317d3221812
151863573e317
hexd19519ba08

900149656072 has 48 divisors (see below), whose sum is σ = 1781522068140. Its totient is φ = 426330283392.

The previous prime is 900149656061. The next prime is 900149656127. The reversal of 900149656072 is 270656941009.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 878332593636 + 21817062436 = 937194^2 + 147706^2 .

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 11 ways as a sum of consecutive naturals, for example, 28786398 + ... + 28817650.

Almost surely, 2900149656072 is an apocalyptic number.

It is an amenable number.

900149656072 is a deficient number, since it is larger than the sum of its proper divisors (881372412068).

900149656072 is a wasteful number, since it uses less digits than its factorization.

900149656072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41270 (or 41247 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 900149656072 in words is "nine hundred billion, one hundred forty-nine million, six hundred fifty-six thousand, seventy-two".

Divisors: 1 2 4 8 19 38 76 152 361 722 1444 2888 9973 19946 31253 39892 62506 79784 125012 189487 250024 378974 593807 757948 1187614 1515896 2375228 3600253 4750456 7200506 11282333 14401012 22564666 28802024 45129332 90258664 311686169 623372338 1246744676 2493489352 5922037211 11844074422 23688148844 47376297688 112518707009 225037414018 450074828036 900149656072