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80629655040 = 293551111783
BaseRepresentation
bin100101100010111100…
…1101110011000000000
321201010012220212100000
41023011321232120000
52310112142430130
6101012445200000
75553035521404
oct1130571563000
9251105825300
1080629655040
113121637a250
1213762860000
1377ac71466c
143c8c641104
15216d8e8260
hex12c5e6e600

80629655040 has 480 divisors, whose sum is σ = 315938278656. Its totient is φ = 19544924160.

The previous prime is 80629655039. The next prime is 80629655053. The reversal of 80629655040 is 4055692608.

80629655040 is a `hidden beast` number, since 8 + 0 + 6 + 2 + 96 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×806296550402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6836989 + ... + 6848771.

Almost surely, 280629655040 is an apocalyptic number.

80629655040 is a gapful number since it is divisible by the number (80) 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 80629655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157969139328).

80629655040 is an abundant number, since it is smaller than the sum of its proper divisors (235308623616).

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

80629655040 is a wasteful number, since it uses less digits than its factorization.

80629655040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11832 (or 11804 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 80629655040 in words is "eighty billion, six hundred twenty-nine million, six hundred fifty-five thousand, forty".