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97932261336 = 2337131912718583
BaseRepresentation
bin101101100110100110…
…1111011011111011000
3100100210001211100001020
41123031031323133120
53101031124330321
6112553420122440
710034565325620
oct1331515733730
9310701740036
1097932261336
1138595232478
1216b91396420
139309308c40
144a505b1880
1528329464c6
hex16cd37b7d8

97932261336 has 256 divisors, whose sum is σ = 319704268800. Its totient is φ = 24274930176.

The previous prime is 97932261311. The next prime is 97932261337. The reversal of 97932261336 is 63316223979.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97932261337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5260701 + ... + 5279283.

It is an arithmetic number, because the mean of its divisors is an integer number (1248844800).

Almost surely, 297932261336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97932261336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159852134400).

97932261336 is an abundant number, since it is smaller than the sum of its proper divisors (221772007464).

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

97932261336 is a wasteful number, since it uses less digits than its factorization.

97932261336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18758 (or 18754 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 51.

The spelling of 97932261336 in words is "ninety-seven billion, nine hundred thirty-two million, two hundred sixty-one thousand, three hundred thirty-six".