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133890948936 = 23325417343289
BaseRepresentation
bin111110010110010000…
…1011011111101001000
3110210121002102221010200
41330230201123331020
54143202040331221
6141301511412200
712446641200543
oct1745441337510
9423532387120
10133890948936
1151867a4a708
1221b47984060
13c81a033a94
1466a215385a
153739747426
hex1f2c85bf48

133890948936 has 48 divisors (see below), whose sum is σ = 362689317900. Its totient is φ = 44621947392.

The previous prime is 133890948889. The next prime is 133890948937. The reversal of 133890948936 is 639849098331.

133890948936 is a `hidden beast` number, since 1 + 3 + 38 + 90 + 9 + 489 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133890128100 + 820836 = 365910^2 + 906^2 .

It is a super-3 number, since 3×1338909489363 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (133890948937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218380 + ... + 561668.

Almost surely, 2133890948936 is an apocalyptic number.

It is an amenable number.

133890948936 is an abundant number, since it is smaller than the sum of its proper divisors (228798368964).

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

133890948936 is a wasteful number, since it uses less digits than its factorization.

133890948936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348718 (or 348711 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 133890948936 in words is "one hundred thirty-three billion, eight hundred ninety million, nine hundred forty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5417 10834 16251 21668 32502 43336 48753 65004 97506 130008 195012 343289 390024 686578 1029867 1373156 2059734 2746312 3089601 4119468 6179202 8238936 12358404 24716808 1859596513 3719193026 5578789539 7438386052 11157579078 14876772104 16736368617 22315158156 33472737234 44630316312 66945474468 133890948936