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97541431632 = 2433225790351
BaseRepresentation
bin101101011010111101…
…1000010000101010000
3100022202211102010111000
41122311323002011100
53044231101303012
6112450535222000
710022111326461
oct1326573020520
9308684363430
1097541431632
1138404660317
1216aa2517900
139276358668
144a14716d68
15280d494ddc
hex16b5ec2150

97541431632 has 40 divisors (see below), whose sum is σ = 279980036480. Its totient is φ = 32513810400.

The previous prime is 97541431591. The next prime is 97541431703. The reversal of 97541431632 is 23613414579.

97541431632 is a `hidden beast` number, since 9 + 7 + 5 + 4 + 1 + 4 + 3 + 1 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

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, 112894744 + ... + 112895607.

It is an arithmetic number, because the mean of its divisors is an integer number (6999500912).

Almost surely, 297541431632 is an apocalyptic number.

It is an amenable number.

97541431632 is an abundant number, since it is smaller than the sum of its proper divisors (182438604848).

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

97541431632 is a wasteful number, since it uses less digits than its factorization.

97541431632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225790368 (or 225790356 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 97541431632 in words is "ninety-seven billion, five hundred forty-one million, four hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 225790351 451580702 677371053 903161404 1354742106 1806322808 2032113159 2709484212 3612645616 4064226318 5418968424 6096339477 8128452636 10837936848 12192678954 16256905272 24385357908 32513810544 48770715816 97541431632