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80724656160 = 25335532711301
BaseRepresentation
bin100101100101110010…
…0001000000000100000
321201100211200102101000
41023023210020000200
52310311002444120
6101030121312000
75555301153531
oct1131344100040
9251324612330
1080724656160
1131264a66a75
121378a635600
1377c62c7a45
143c9b0d0688
152176e11990
hex12cb908020

80724656160 has 384 divisors, whose sum is σ = 289151493120. Its totient is φ = 21026304000.

The previous prime is 80724656153. The next prime is 80724656167. The reversal of 80724656160 is 6165642708.

80724656160 is a `hidden beast` number, since 8 + 0 + 7 + 24 + 6 + 5 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80724656153) and next prime (80724656167).

It is a super-2 number, since 2×807246561602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (80724656167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62047510 + ... + 62048810.

It is an arithmetic number, because the mean of its divisors is an integer number (752998680).

Almost surely, 280724656160 is an apocalyptic number.

80724656160 is a gapful number since it is divisible by the number (80) 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 80724656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144575746560).

80724656160 is an abundant number, since it is smaller than the sum of its proper divisors (208426836960).

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

80724656160 is a wasteful number, since it uses less digits than its factorization.

80724656160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 80724656160 in words is "eighty billion, seven hundred twenty-four million, six hundred fifty-six thousand, one hundred sixty".