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80074997184 = 263721317192027
BaseRepresentation
bin100101010010011010…
…1110111110111000000
321122200120020022210110
41022210311313313000
52302443144402214
6100441433031320
75533222150200
oct1124465676700
9248616208713
1080074997184
1130a61280626
1213628b55540
137721833050
143c38adc400
152139d85159
hex12a4d77dc0

80074997184 has 672 divisors, whose sum is σ = 295962750720. Its totient is φ = 18820988928.

The previous prime is 80074997129. The next prime is 80074997213. The reversal of 80074997184 is 48179947008.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 39503179 + ... + 39505205.

It is an arithmetic number, because the mean of its divisors is an integer number (440420760).

Almost surely, 280074997184 is an apocalyptic number.

80074997184 is a gapful number since it is divisible by the number (84) 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 80074997184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147981375360).

80074997184 is an abundant number, since it is smaller than the sum of its proper divisors (215887753536).

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

80074997184 is a wasteful number, since it uses less digits than its factorization.

80074997184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 80074997184 in words is "eighty billion, seventy-four million, nine hundred ninety-seven thousand, one hundred eighty-four".