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97537042944 = 29351131931
BaseRepresentation
bin101101011010110101…
…0010010101000000000
3100022202112011011100000
41122311222102220000
53044223440333234
6112450301200000
710022026120455
oct1326552225000
9308675134300
1097537042944
1138402133000
1216aa0b60000
13927547cbc3
144a13cd382c
15280cdc9899
hex16b5a92a00

97537042944 has 960 divisors, whose sum is σ = 348897669120. Its totient is φ = 27097804800.

The previous prime is 97537042909. The next prime is 97537042949. The reversal of 97537042944 is 44924073579.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97537042949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3146356209 + ... + 3146356239.

It is an arithmetic number, because the mean of its divisors is an integer number (363435072).

Almost surely, 297537042944 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 97537042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174448834560).

97537042944 is an abundant number, since it is smaller than the sum of its proper divisors (251360626176).

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

97537042944 is an equidigital number, since it uses as much as digits as its factorization.

97537042944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 97537042944 in words is "ninety-seven billion, five hundred thirty-seven million, forty-two thousand, nine hundred forty-four".