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107282534952 = 23319653360289
BaseRepresentation
bin110001111101010001…
…0011001001000101000
3101020220201000110010110
41203322202121020220
53224203312104302
6121141313014320
710515363333555
oct1437242311050
9336821013113
10107282534952
114155321542a
12189608543a0
13a169509b18
14529a325a2c
152bcd762b6c
hex18fa899228

107282534952 has 64 divisors (see below), whose sum is σ = 282755592000. Its totient is φ = 33826719744.

The previous prime is 107282534951. The next prime is 107282534959. The reversal of 107282534952 is 259435282701.

It is not an unprimeable number, because it can be changed into a prime (107282534951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117624 + ... + 477912.

It is an arithmetic number, because the mean of its divisors is an integer number (4418056125).

Almost surely, 2107282534952 is an apocalyptic number.

107282534952 is a gapful number since it is divisible by the number (12) 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 107282534952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141377796000).

107282534952 is an abundant number, since it is smaller than the sum of its proper divisors (175473057048).

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

107282534952 is a wasteful number, since it uses less digits than its factorization.

107282534952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360970 (or 360966 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 107282534952 in words is "one hundred seven billion, two hundred eighty-two million, five hundred thirty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 653 1306 1959 2612 3918 5224 7836 12407 15672 24814 37221 49628 74442 99256 148884 297768 360289 720578 1080867 1441156 2161734 2882312 4323468 6845491 8646936 13690982 20536473 27381964 41072946 54763928 82145892 164291784 235268717 470537434 705806151 941074868 1411612302 1882149736 2823224604 4470105623 5646449208 8940211246 13410316869 17880422492 26820633738 35760844984 53641267476 107282534952