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100745147136 = 283314231567
BaseRepresentation
bin101110111010011100…
…0001111001100000000
3100122001002202201221210
41131310320033030000
53122311224202021
6114140502050120
710164362423064
oct1356470171400
9318032681853
10100745147136
11397a9011187
1217637419940
139666cc83ca
144c39dcbaa4
152949878e76
hex1774e0f300

100745147136 has 72 divisors (see below), whose sum is σ = 276778399744. Its totient is φ = 32498426880.

The previous prime is 100745147119. The next prime is 100745147183. The reversal of 100745147136 is 631741547001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100745147094 and 100745147103.

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 7 ways as a sum of consecutive naturals, for example, 2091976 + ... + 2139591.

Almost surely, 2100745147136 is an apocalyptic number.

100745147136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100745147136 is an abundant number, since it is smaller than the sum of its proper divisors (176033252608).

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

100745147136 is an equidigital number, since it uses as much as digits as its factorization.

100745147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231617 (or 4231603 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 100745147136 in words is "one hundred billion, seven hundred forty-five million, one hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 23808 4231567 8463134 12694701 16926268 25389402 33852536 50778804 67705072 101557608 131178577 135410144 203115216 262357154 270820288 393535731 406230432 524714308 541640576 787071462 812460864 1049428616 1083281152 1574142924 1624921728 2098857232 3148285848 3249843456 4197714464 6296571696 8395428928 12593143392 16790857856 25186286784 33581715712 50372573568 100745147136