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97588136881 = 37284432
BaseRepresentation
bin101101011100010110…
…1001100101110110001
3100022220002022000001001
41122320231030232301
53044330030340011
6112455324242001
710023216322414
oct1327055145661
9308802260031
1097588136881
1138428a606a4
1216ab60a0301
139282c2c1c1
144a1a9d3b7b
15281261d7c1
hex16b8b4cbb1

97588136881 has 9 divisors (see below), whose sum is σ = 100308819051. Its totient is φ = 94939373592.

The previous prime is 97588136873. The next prime is 97588136887. The reversal of 97588136881 is 18863188579.

The square root of 97588136881 is 312391.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87323205025 + 10264931856 = 295505^2 + 101316^2 .

It is not a de Polignac number, because 97588136881 - 23 = 97588136873 is a prime.

It is a super-2 number, since 2×975881368812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97588136887) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11554246 + ... + 11562688.

It is an arithmetic number, because the mean of its divisors is an integer number (11145424339).

Almost surely, 297588136881 is an apocalyptic number.

97588136881 is the 312391-st square number.

97588136881 is the 156196-th centered octagonal number.

It is an amenable number.

97588136881 is a deficient number, since it is larger than the sum of its proper divisors (2720682170).

97588136881 is an frugal number, since it uses more digits than its factorization.

97588136881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16960 (or 8480 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 64.

Multiplying 97588136881 by its sum of digits (64), we get a square (6245640760384 = 24991282).

The spelling of 97588136881 in words is "ninety-seven billion, five hundred eighty-eight million, one hundred thirty-six thousand, eight hundred eighty-one".

Divisors: 1 37 1369 8443 312391 11558467 71284249 2637517213 97588136881