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80758269900 = 2232527114143661
BaseRepresentation
bin100101100110110010…
…0010110011111001100
321201110011221011202100
41023031210112133030
52310343104114100
6101033321555100
75556156653010
oct1131544263714
9251404834670
1080758269900
1131281a35520
1213799945a90
137800266829
143ca1760540
152179d51400
hex12cd9167cc

80758269900 has 864 divisors, whose sum is σ = 331309794816. Its totient is φ = 15966720000.

The previous prime is 80758269881. The next prime is 80758269913. The reversal of 80758269900 is 996285708.

It is a happy number.

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 122175570 + ... + 122176230.

Almost surely, 280758269900 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 80758269900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165654897408).

80758269900 is an abundant number, since it is smaller than the sum of its proper divisors (250551524916).

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

80758269900 is a wasteful number, since it uses less digits than its factorization.

80758269900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 80758269900 in words is "eighty billion, seven hundred fifty-eight million, two hundred sixty-nine thousand, nine hundred".