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104770476216 = 23337259316693
BaseRepresentation
bin110000110010011001…
…1101001100010111000
3101000102122010122101000
41201210303221202320
53204032220214331
6120044134525000
710366211232300
oct1414463514270
9330378118330
10104770476216
114048422552a
121837b506760
139b58c47a33
1450dc856600
152ad2e540e6
hex1864ce98b8

104770476216 has 192 divisors, whose sum is σ = 339135271200. Its totient is φ = 29882151936.

The previous prime is 104770476199. The next prime is 104770476233. The reversal of 104770476216 is 612674077401.

104770476216 is a `hidden beast` number, since 10 + 4 + 7 + 7 + 0 + 4 + 7 + 621 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (104770476199) and next prime (104770476233).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6267966 + ... + 6284658.

Almost surely, 2104770476216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104770476216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169567635600).

104770476216 is an abundant number, since it is smaller than the sum of its proper divisors (234364794984).

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

104770476216 is a wasteful number, since it uses less digits than its factorization.

104770476216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17315 (or 17298 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 104770476216 in words is "one hundred four billion, seven hundred seventy million, four hundred seventy-six thousand, two hundred sixteen".