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37916299344690 = 232513491109160497
BaseRepresentation
bin10001001111100000100111…
…00011011011101100110010
311222020202121002112022121200
420213300103203123230302
514432210040113012230
6212350301335432030
710662235146520344
oct1047602343335462
9158222532468550
1037916299344690
1111099237560098
124304523b25616
131820651308620
149512315bd294
1545b45392a160
hex227c138dbb32

37916299344690 has 192 divisors, whose sum is σ = 106481130118272. Its totient is φ = 9305543116800.

The previous prime is 37916299344683. The next prime is 37916299344743. The reversal of 37916299344690 is 9644399261973.

37916299344690 is a `hidden beast` number, since 3 + 7 + 9 + 1 + 6 + 2 + 9 + 93 + 446 + 90 = 666.

37916299344690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×379162993446902 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 626716522 + ... + 626777018.

It is an arithmetic number, because the mean of its divisors is an integer number (554589219366).

Almost surely, 237916299344690 is an apocalyptic number.

37916299344690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37916299344690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53240565059136).

37916299344690 is an abundant number, since it is smaller than the sum of its proper divisors (68564830773582).

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

37916299344690 is a wasteful number, since it uses less digits than its factorization.

37916299344690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62105 (or 62102 counting only the distinct ones).

The product of its (nonzero) digits is 476171136, while the sum is 72.

The spelling of 37916299344690 in words is "thirty-seven trillion, nine hundred sixteen billion, two hundred ninety-nine million, three hundred forty-four thousand, six hundred ninety".