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76139240450 = 252721321729373
BaseRepresentation
bin100011011101001000…
…0001001110000000010
321021112021102011112112
41012322100021300002
52221413121143300
654551120055322
75333541602600
oct1067220116002
9237467364475
1076139240450
112a321686309
121290aa64542
137245315b00
14398410c870
151ea959ee35
hex11ba409c02

76139240450 has 432 divisors, whose sum is σ = 195917962680. Its totient is φ = 21838602240.

The previous prime is 76139240449. The next prime is 76139240519. The reversal of 76139240450 is 5404293167.

It can be written as a sum of positive squares in 36 ways, for example, as 34881912289 + 41257328161 = 186767^2 + 203119^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76139240398 and 76139240407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 204126464 + ... + 204126836.

Almost surely, 276139240450 is an apocalyptic number.

76139240450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

76139240450 is an abundant number, since it is smaller than the sum of its proper divisors (119778722230).

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

76139240450 is a wasteful number, since it uses less digits than its factorization.

76139240450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 76139240450 in words is "seventy-six billion, one hundred thirty-nine million, two hundred forty thousand, four hundred fifty".