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83814022656 = 2932713199877
BaseRepresentation
bin100111000001110110…
…1000111111000000000
322000100010212111111100
41032003231013320000
52333122342211111
6102300441214400
76024663303120
oct1160355077000
9260303774440
1083814022656
11325aa915821
12142b1191400
137b9936ba60
1440b151ac80
1522a8259756
hex1383b47e00

83814022656 has 240 divisors, whose sum is σ = 297715882464. Its totient is φ = 22104686592.

The previous prime is 83814022651. The next prime is 83814022657. The reversal of 83814022656 is 65622041838.

83814022656 is a `hidden beast` number, since 8 + 381 + 4 + 0 + 2 + 265 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83814022651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319390 + ... + 519266.

Almost surely, 283814022656 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 83814022656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148857941232).

83814022656 is an abundant number, since it is smaller than the sum of its proper divisors (213901859808).

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

83814022656 is a wasteful number, since it uses less digits than its factorization.

83814022656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199921 (or 199902 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 83814022656 in words is "eighty-three billion, eight hundred fourteen million, twenty-two thousand, six hundred fifty-six".