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97419622320 = 243351073071373
BaseRepresentation
bin101101010111010101…
…0010111011110110000
3100022110100012120112000
41122232222113132300
53044003410403240
6112430504334000
710016102061336
oct1325652273660
9308410176460
1097419622320
1138351923169
1216a69774300
13925704a047
144a02489b56
152802933430
hex16aea977b0

97419622320 has 320 divisors, whose sum is σ = 340043235840. Its totient is φ = 25633262592.

The previous prime is 97419622303. The next prime is 97419622343. The reversal of 97419622320 is 2322691479.

97419622320 is a `hidden beast` number, since 9 + 7 + 4 + 19 + 622 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70953154 + ... + 70954526.

It is an arithmetic number, because the mean of its divisors is an integer number (1062635112).

Almost surely, 297419622320 is an apocalyptic number.

97419622320 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 97419622320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170021617920).

97419622320 is an abundant number, since it is smaller than the sum of its proper divisors (242623613520).

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

97419622320 is a wasteful number, since it uses less digits than its factorization.

97419622320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 97419622320 in words is "ninety-seven billion, four hundred nineteen million, six hundred twenty-two thousand, three hundred twenty".