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97437502272 = 263111512771103
BaseRepresentation
bin101101010111110111…
…0100100101101000000
3100022111120211222012110
41122233232210231000
53044023000033042
6112432343455320
710016410050435
oct1325756445500
9308446758173
1097437502272
1138360a25690
1216a73757540
13925a96a4b6
144a049c1b8c
1528042b609c
hex16afba4b40

97437502272 has 224 divisors, whose sum is σ = 284382203904. Its totient is φ = 29198592000.

The previous prime is 97437502271. The next prime is 97437502273. The reversal of 97437502272 is 27220573479.

It is an interprime number because it is at equal distance from previous prime (97437502271) and next prime (97437502273).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97437502271) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 88338073 + ... + 88339175.

Almost surely, 297437502272 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 97437502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142191101952).

97437502272 is an abundant number, since it is smaller than the sum of its proper divisors (186944701632).

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

97437502272 is a wasteful number, since it uses less digits than its factorization.

97437502272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 97437502272 in words is "ninety-seven billion, four hundred thirty-seven million, five hundred two thousand, two hundred seventy-two".