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96627841380 = 22335773834219
BaseRepresentation
bin101100111111101110…
…1111101100101100100
3100020102011022221021000
41121333131331211210
53040343211411010
6112220141553300
76660346046160
oct1317735754544
9306364287230
1096627841380
1137a85996454
1216888575830
13915bcb4205
14496925dca0
1527a81817c0
hex167f77d964

96627841380 has 384 divisors, whose sum is σ = 352551628800. Its totient is φ = 21516254208.

The previous prime is 96627841327. The next prime is 96627841411. The reversal of 96627841380 is 8314872669.

96627841380 is a `hidden beast` number, since 9 + 6 + 627 + 8 + 4 + 1 + 3 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22900911 + ... + 22905129.

It is an arithmetic number, because the mean of its divisors is an integer number (918103200).

Almost surely, 296627841380 is an apocalyptic number.

96627841380 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96627841380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176275814400).

96627841380 is an abundant number, since it is smaller than the sum of its proper divisors (255923787420).

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

96627841380 is a wasteful number, since it uses less digits than its factorization.

96627841380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 96627841380 in words is "ninety-six billion, six hundred twenty-seven million, eight hundred forty-one thousand, three hundred eighty".