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97640787420 = 22365113141479
BaseRepresentation
bin101101011101111011…
…0000010110111011100
3100100000202100221000000
41122323312002313130
53044432020144140
6112504444534300
710024425666501
oct1327366026734
9310022327000
1097640787420
1138455751840
1216b0b851390
139290b04b77
144a239bb4a8
15281706da30
hex16bbd82ddc

97640787420 has 672 divisors, whose sum is σ = 355378544640. Its totient is φ = 22301568000.

The previous prime is 97640787403. The next prime is 97640787463. The reversal of 97640787420 is 2478704679.

97640787420 is a `hidden beast` number, since 97 + 64 + 0 + 78 + 7 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 203842741 + ... + 203843219.

It is an arithmetic number, because the mean of its divisors is an integer number (528837120).

Almost surely, 297640787420 is an apocalyptic number.

97640787420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97640787420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177689272320).

97640787420 is an abundant number, since it is smaller than the sum of its proper divisors (257737757220).

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

97640787420 is a wasteful number, since it uses less digits than its factorization.

97640787420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 97640787420 in words is "ninety-seven billion, six hundred forty million, seven hundred eighty-seven thousand, four hundred twenty".