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97639139520 = 263251319294733
BaseRepresentation
bin101101011101110111…
…1110000100011000000
3100100000122021012111200
41122323233300203000
53044431104431040
6112504345341200
710024405664226
oct1327357604300
9310018235450
1097639139520
113845482673a
1216b0b197800
139290678a90
144a236acb16
152816d45630
hex16bbbf08c0

97639139520 has 672 divisors, whose sum is σ = 393918033600. Its totient is φ = 21979496448.

The previous prime is 97639139519. The next prime is 97639139557. The reversal of 97639139520 is 2593193679.

It is a happy number.

97639139520 is a `hidden beast` number, since 9 + 76 + 39 + 13 + 9 + 520 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 20627074 + ... + 20631806.

It is an arithmetic number, because the mean of its divisors is an integer number (586187550).

Almost surely, 297639139520 is an apocalyptic number.

97639139520 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 97639139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196959016800).

97639139520 is an abundant number, since it is smaller than the sum of its proper divisors (296278894080).

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

97639139520 is a wasteful number, since it uses less digits than its factorization.

97639139520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 97639139520 in words is "ninety-seven billion, six hundred thirty-nine million, one hundred thirty-nine thousand, five hundred twenty".