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97356361140 = 22325540868673
BaseRepresentation
bin101101010101011100…
…1000010110110110100
3100022021221011120111100
41122222321002312310
53043341212024030
6112420324410100
710014403262403
oct1325271026664
9308257146440
1097356361140
113831a1450a5
1216a50546930
139246bca8ac
1449d7cdd63a
1527ec0d9360
hex16aae42db4

97356361140 has 36 divisors (see below), whose sum is σ = 295314296004. Its totient is φ = 25961696256.

The previous prime is 97356361097. The next prime is 97356361147. The reversal of 97356361140 is 4116365379.

It is a happy number.

97356361140 is a `hidden beast` number, since 9 + 7 + 3 + 5 + 636 + 1 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14139112464 + 83217248676 = 118908^2 + 288474^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×973563611402 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97356361147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270434157 + ... + 270434516.

It is an arithmetic number, because the mean of its divisors is an integer number (8203174889).

Almost surely, 297356361140 is an apocalyptic number.

97356361140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97356361140 is an abundant number, since it is smaller than the sum of its proper divisors (197957934864).

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

97356361140 is a wasteful number, since it uses less digits than its factorization.

97356361140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540868688 (or 540868683 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 97356361140 in words is "ninety-seven billion, three hundred fifty-six million, three hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 540868673 1081737346 1622606019 2163474692 2704343365 3245212038 4867818057 5408686730 6490424076 8113030095 9735636114 10817373460 16226060190 19471272228 24339090285 32452120380 48678180570 97356361140