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80072432622 = 2327213232111439
BaseRepresentation
bin100101010010010110…
…0000101101111101110
321122200101102000212200
41022210230011233232
52302442020320442
6100441302042330
75533161306300
oct1124454055756
9248611360780
1080072432622
1130a5a889856
12136281193a6
137721145960
143c38631970
152139a2a34c
hex12a4b05bee

80072432622 has 288 divisors, whose sum is σ = 228022179840. Its totient is φ = 20090125440.

The previous prime is 80072432617. The next prime is 80072432623. The reversal of 80072432622 is 22623427008.

It is a happy number.

80072432622 is a `hidden beast` number, since 8 + 0 + 0 + 7 + 24 + 3 + 2 + 622 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80072432623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55643779 + ... + 55645217.

It is an arithmetic number, because the mean of its divisors is an integer number (791743680).

Almost surely, 280072432622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80072432622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114011089920).

80072432622 is an abundant number, since it is smaller than the sum of its proper divisors (147949747218).

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

80072432622 is a wasteful number, since it uses less digits than its factorization.

80072432622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 80072432622 in words is "eighty billion, seventy-two million, four hundred thirty-two thousand, six hundred twenty-two".