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97390195920 = 24325135264161
BaseRepresentation
bin101101010110011101…
…0000111010011010000
3100022101021211120002100
41122230322013103100
53043423342232140
6112423533520400
710015264002153
oct1325472072320
9308337746070
1097390195920
1138337254726
1216a5b943100
139250c16184
1449dc5c9c9a
15280006e530
hex16ace874d0

97390195920 has 60 divisors (see below), whose sum is σ = 327068743716. Its totient is φ = 25970718720.

The previous prime is 97390195879. The next prime is 97390195921. The reversal of 97390195920 is 2959109379.

97390195920 is a `hidden beast` number, since 9 + 7 + 39 + 0 + 19 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11475551376 + 85914644544 = 107124^2 + 293112^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×973901959202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97390195921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67631361 + ... + 67632800.

Almost surely, 297390195920 is an apocalyptic number.

97390195920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97390195920 is an abundant number, since it is smaller than the sum of its proper divisors (229678547796).

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

97390195920 is a wasteful number, since it uses less digits than its factorization.

97390195920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135264180 (or 135264171 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 54.

The spelling of 97390195920 in words is "ninety-seven billion, three hundred ninety million, one hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 135264161 270528322 405792483 541056644 676320805 811584966 1082113288 1217377449 1352641610 1623169932 2028962415 2164226576 2434754898 2705283220 3246339864 4057924830 4869509796 5410566440 6086887245 6492679728 8115849660 9739019592 10821132880 12173774490 16231699320 19478039184 24347548980 32463398640 48695097960 97390195920