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83968656156 = 22347211243711
BaseRepresentation
bin100111000110011101…
…1000000001100011100
322000201220211200210000
41032030323000030130
52333431433444111
6102324043414300
76031551541500
oct1161473001434
9260656750700
1083968656156
113267a132200
1214334b24390
137bc2400978
1440c7c90300
1522b6b01c56
hex138cec031c

83968656156 has 270 divisors, whose sum is σ = 280679429184. Its totient is φ = 21809541600.

The previous prime is 83968656139. The next prime is 83968656173. The reversal of 83968656156 is 65165686938.

83968656156 is a `hidden beast` number, since 8 + 3 + 9 + 6 + 8 + 6 + 5 + 615 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (83968656139) and next prime (83968656173).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 83968656093 and 83968656102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1899141 + ... + 1942851.

Almost surely, 283968656156 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 83968656156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140339714592).

83968656156 is an abundant number, since it is smaller than the sum of its proper divisors (196710773028).

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

83968656156 is a wasteful number, since it uses less digits than its factorization.

83968656156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43763 (or 43734 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 83968656156 in words is "eighty-three billion, nine hundred sixty-eight million, six hundred fifty-six thousand, one hundred fifty-six".