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97492978440 = 23325111318110463
BaseRepresentation
bin101101011001100001…
…0001100101100001000
3100022122110020110012100
41122303002030230020
53044131200302230
6112442044513400
710020652433514
oct1326302145410
9308573213170
1097492978440
113838a276760
1216a8a24b860
1392692c2330
144a0c103144
1528090c3660
hex16b308cb08

97492978440 has 384 divisors, whose sum is σ = 374338298880. Its totient is φ = 21694003200.

The previous prime is 97492978433. The next prime is 97492978463. The reversal of 97492978440 is 4487929479.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9312649 + ... + 9323111.

It is an arithmetic number, because the mean of its divisors is an integer number (974839320).

Almost surely, 297492978440 is an apocalyptic number.

97492978440 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 97492978440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187169149440).

97492978440 is an abundant number, since it is smaller than the sum of its proper divisors (276845320440).

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

97492978440 is a wasteful number, since it uses less digits than its factorization.

97492978440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10685 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 97492978440 in words is "ninety-seven billion, four hundred ninety-two million, nine hundred seventy-eight thousand, four hundred forty".