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37900078940416 = 28721121922632
BaseRepresentation
bin10001001111000010011001…
…01111100000000100000000
311222012012201122222101222211
420213201030233200010000
514431423330202043131
6212335020024111504
710661122200411100
oct1047411457400400
9158165648871884
1037900078940416
1111092373566300
124301357905594
13181bc679a2984
14950533277200
1545ad048e95b1
hex22784cbe0100

37900078940416 has 729 divisors, whose sum is σ = 102479807918943. Its totient is φ = 13935902238720.

The previous prime is 37900078940393. The next prime is 37900078940419. The reversal of 37900078940416 is 61404987000973.

The square root of 37900078940416 is 6156304.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (37900078940419) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 144106763901 + ... + 144106764163.

Almost surely, 237900078940416 is an apocalyptic number.

37900078940416 is the 6156304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37900078940416

37900078940416 is an abundant number, since it is smaller than the sum of its proper divisors (64579728978527).

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

37900078940416 is an equidigital number, since it uses as much as digits as its factorization.

37900078940416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 37900078940416 in words is "thirty-seven trillion, nine hundred billion, seventy-eight million, nine hundred forty thousand, four hundred sixteen".