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100508437432 = 231328111173079
BaseRepresentation
bin101110110011011000…
…1010000101110111000
3100121102121100122021201
41131212301100232320
53121320124444212
6114101204343544
710155456423244
oct1354661205670
9317377318251
10100508437432
1139697435727
12175900a4bb4
139629c5a0b0
144c167b1424
152933bbcb57
hex1766c50bb8

100508437432 has 64 divisors (see below), whose sum is σ = 203920516800. Its totient is φ = 46167045120.

The previous prime is 100508437409. The next prime is 100508437433. The reversal of 100508437432 is 234734805001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100508437391 and 100508437400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100508437433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32641669 + ... + 32644747.

It is an arithmetic number, because the mean of its divisors is an integer number (3186258075).

Almost surely, 2100508437432 is an apocalyptic number.

It is an amenable number.

100508437432 is an abundant number, since it is smaller than the sum of its proper divisors (103412079368).

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

100508437432 is a wasteful number, since it uses less digits than its factorization.

100508437432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 100508437432 in words is "one hundred billion, five hundred eight million, four hundred thirty-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 281 562 1117 1124 2234 2248 3079 3653 4468 6158 7306 8936 12316 14521 14612 24632 29042 29224 40027 58084 80054 116168 160108 313877 320216 627754 865199 1255508 1730398 2511016 3439243 3460796 4080401 6878486 6921592 8160802 11247587 13756972 16321604 22495174 27513944 32643208 44710159 44990348 89420318 89980696 178840636 357681272 966427283 1932854566 3865709132 7731418264 12563554679 25127109358 50254218716 100508437432