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96572155680 = 2532572111317563
BaseRepresentation
bin101100111110000100…
…1100010011100100000
3100020021021112210211200
41121330021202130200
53040234432440210
6112210432241200
76656101531200
oct1317411423440
9306237483750
1096572155680
1137a57511a10
12168719a0200
1391505b7bb0
144961ac6400
1527a33320c0
hex167c262720

96572155680 has 1728 divisors, whose sum is σ = 477717222528. Its totient is φ = 17402757120.

The previous prime is 96572155651. The next prime is 96572155681. The reversal of 96572155680 is 8655127569.

96572155680 is a `hidden beast` number, since 9 + 6 + 5 + 7 + 2 + 1 + 556 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (96572155681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 171531079 + ... + 171531641.

It is an arithmetic number, because the mean of its divisors is an integer number (276456726).

Almost surely, 296572155680 is an apocalyptic number.

96572155680 is a gapful number since it is divisible by the number (90) 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 96572155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238858611264).

96572155680 is an abundant number, since it is smaller than the sum of its proper divisors (381145066848).

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

96572155680 is a wasteful number, since it uses less digits than its factorization.

96572155680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

It can be divided in two parts, 96572 and 155680, that added together give a palindrome (252252).

The spelling of 96572155680 in words is "ninety-six billion, five hundred seventy-two million, one hundred fifty-five thousand, six hundred eighty".