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97445631360 = 273571119113307
BaseRepresentation
bin101101011000000110…
…1100101010110000000
3100022112011010222012210
41122300031211112000
53044032040200420
6112433234022120
710016536125420
oct1326015452600
9308464128183
1097445631360
1138365578140
1216a76417940
13925c5555cc
144a05ada480
152804d6e9e0
hex16b0365580

97445631360 has 1024 divisors, whose sum is σ = 412580044800. Its totient is φ = 18951045120.

The previous prime is 97445631347. The next prime is 97445631377. The reversal of 97445631360 is 6313654479.

97445631360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×974456313602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317412327 + ... + 317412633.

It is an arithmetic number, because the mean of its divisors is an integer number (402910200).

Almost surely, 297445631360 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 97445631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206290022400).

97445631360 is an abundant number, since it is smaller than the sum of its proper divisors (315134413440).

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

97445631360 is a wasteful number, since it uses less digits than its factorization.

97445631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 97445631360 in words is "ninety-seven billion, four hundred forty-five million, six hundred thirty-one thousand, three hundred sixty".