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97141405632 = 2632332171437
BaseRepresentation
bin101101001111000010…
…1000011011111000000
3100021201221200200222020
41122132011003133000
53042421144440012
6112343125241440
710006153216065
oct1323605033700
9307657620866
1097141405632
1138219877917
12169b0563280
13921150829b
1449b7546c6c
1527d82c8a8c
hex169e1437c0

97141405632 has 56 divisors (see below), whose sum is σ = 258123177936. Its totient is φ = 32241481728.

The previous prime is 97141405609. The next prime is 97141405637. The reversal of 97141405632 is 23650414179.

It is a super-2 number, since 2×971414056322 (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 (97141405637) 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, 1040983 + ... + 1130454.

Almost surely, 297141405632 is an apocalyptic number.

It is an amenable number.

97141405632 is an abundant number, since it is smaller than the sum of its proper divisors (160981772304).

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

97141405632 is a wasteful number, since it uses less digits than its factorization.

97141405632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171685 (or 2171675 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 97141405632 in words is "ninety-seven billion, one hundred forty-one million, four hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 466 699 932 1398 1864 2796 3728 5592 7456 11184 14912 22368 44736 2171437 4342874 6514311 8685748 13028622 17371496 26057244 34742992 52114488 69485984 104228976 138971968 208457952 416915904 505944821 1011889642 1517834463 2023779284 3035668926 4047558568 6071337852 8095117136 12142675704 16190234272 24285351408 32380468544 48570702816 97141405632