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97090084180 = 22533714405057
BaseRepresentation
bin101101001101100000…
…1010001110101010100
3100021121101010022011201
41122123001101311110
53042320030143210
6112334053242244
710004661045625
oct1323301216524
9307541108151
1097090084180
11381a29042a1
1216997333384
1392039a956b
1449b07c7a4c
1527d3a3c53a
hex169b051d54

97090084180 has 24 divisors (see below), whose sum is σ = 204494203368. Its totient is φ = 38720790528.

The previous prime is 97090084129. The next prime is 97090084181. The reversal of 97090084180 is 8148009079.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6389124624 + 90700959556 = 79932^2 + 301166^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97090084180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97090084181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7195789 + ... + 7209268.

It is an arithmetic number, because the mean of its divisors is an integer number (8520591807).

Almost surely, 297090084180 is an apocalyptic number.

It is an amenable number.

97090084180 is an abundant number, since it is smaller than the sum of its proper divisors (107404119188).

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

97090084180 is a wasteful number, since it uses less digits than its factorization.

97090084180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14405403 (or 14405401 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 97090084180 in words is "ninety-seven billion, ninety million, eighty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 337 674 1348 1685 3370 6740 14405057 28810114 57620228 72025285 144050570 288101140 4854504209 9709008418 19418016836 24272521045 48545042090 97090084180