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97076180880 = 24325738534999
BaseRepresentation
bin101101001101000110…
…0001111011110010000
3100021120101221221102200
41122122030033132100
53042303000242010
6112332435243200
710004431631340
oct1323214173620
9307511857380
1097076180880
1138195a78568
1216992749500
139200b4c163
1449aca08d20
1527d26e2cc0
hex169a30f790

97076180880 has 240 divisors, whose sum is σ = 372758880000. Its totient is φ = 22178644992.

The previous prime is 97076180869. The next prime is 97076180893. The reversal of 97076180880 is 8808167079.

97076180880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19416621 + ... + 19421619.

It is an arithmetic number, because the mean of its divisors is an integer number (1553162000).

Almost surely, 297076180880 is an apocalyptic number.

97076180880 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 97076180880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186379440000).

97076180880 is an abundant number, since it is smaller than the sum of its proper divisors (275682699120).

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

97076180880 is a wasteful number, since it uses less digits than its factorization.

97076180880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 97076180880 in words is "ninety-seven billion, seventy-six million, one hundred eighty thousand, eight hundred eighty".