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80617400424 = 2332113171103449
BaseRepresentation
bin100101100010100101…
…0111110100001101000
321201002100212021011100
41023011022332201220
52310101023303144
6101011330401400
75552526411561
oct1130512764150
9251070767140
1080617400424
113120a46a170
121375a730260
1377aa013802
143c8ab71168
15216c7c7269
hex12c52be868

80617400424 has 384 divisors, whose sum is σ = 252315648000. Its totient is φ = 23030784000.

The previous prime is 80617400389. The next prime is 80617400429. The reversal of 80617400424 is 42400471608.

It is a super-2 number, since 2×806174004242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80617400429) 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, 179548552 + ... + 179549000.

It is an arithmetic number, because the mean of its divisors is an integer number (657072000).

Almost surely, 280617400424 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 80617400424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126157824000).

80617400424 is an abundant number, since it is smaller than the sum of its proper divisors (171698247576).

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

80617400424 is a wasteful number, since it uses less digits than its factorization.

80617400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 80617400424 in words is "eighty billion, six hundred seventeen million, four hundred thousand, four hundred twenty-four".