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153196905978 = 23272997116593
BaseRepresentation
bin1000111010101100111…
…1110100010111111010
3112122102120000011102200
42032223033310113322
510002221401442403
6154213325211030
714032235133564
oct2165317642772
9478376004380
10153196905978
1159a74728a06
1225835400a76
13115a59a68bc
1475b41b2334
153eb95baca3
hex23ab3f45fa

153196905978 has 24 divisors (see below), whose sum is σ = 331934023668. Its totient is φ = 51064497792.

The previous prime is 153196905959. The next prime is 153196905991. The reversal of 153196905978 is 879509691351.

153196905978 is a `hidden beast` number, since 1 + 5 + 31 + 9 + 6 + 9 + 0 + 597 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 144204746049 + 8992159929 = 379743^2 + 94827^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255650 + ... + 1372242.

Almost surely, 2153196905978 is an apocalyptic number.

153196905978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

153196905978 is an abundant number, since it is smaller than the sum of its proper divisors (178737117690).

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

153196905978 is a wasteful number, since it uses less digits than its factorization.

153196905978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189598 (or 189595 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 63.

The spelling of 153196905978 in words is "one hundred fifty-three billion, one hundred ninety-six million, nine hundred five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 72997 116593 145994 218991 233186 349779 437982 656973 699558 1049337 1313946 2098674 8510939221 17021878442 25532817663 51065635326 76598452989 153196905978