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80577376152 = 23373132173407
BaseRepresentation
bin100101100001011001…
…0010010111110011000
321200222120112211011220
41023002302102332120
52310010302014102
6101003340452040
75551532253000
oct1130262227630
9250876484156
1080577376152
1131199912359
121374924a020
1377a193bc00
143c85713000
15216901d1bc
hex12c2c92f98

80577376152 has 384 divisors, whose sum is σ = 269422848000. Its totient is φ = 19995236352.

The previous prime is 80577376141. The next prime is 80577376157. The reversal of 80577376152 is 25167377508.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 80577376095 and 80577376104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80577376157) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 23648833 + ... + 23652239.

It is an arithmetic number, because the mean of its divisors is an integer number (701622000).

Almost surely, 280577376152 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 80577376152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134711424000).

80577376152 is an abundant number, since it is smaller than the sum of its proper divisors (188845471848).

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

80577376152 is a wasteful number, since it uses less digits than its factorization.

80577376152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 80577376152 in words is "eighty billion, five hundred seventy-seven million, three hundred seventy-six thousand, one hundred fifty-two".