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37970989056 = 21233741113
BaseRepresentation
bin100011010111001111…
…110101000000000000
310122000021010002202000
4203113033311000000
51110231033122211
625235454024000
72512646040000
oct432717650000
9118007102660
1037970989056
11151156a70a0
1274384a8000
1337718bb480
141ba2d20000
15ec37e3656
hex8d73f5000

37970989056 has 1040 divisors, whose sum is σ = 154176899520. Its totient is φ = 9103933440.

The previous prime is 37970989031. The next prime is 37970989123. The reversal of 37970989056 is 65098907973.

It is a super-2 number, since 2×379709890562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 37970988984 and 37970989002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2920845306 + ... + 2920845318.

Almost surely, 237970989056 is an apocalyptic number.

37970989056 is a gapful number since it is divisible by the number (36) 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 37970989056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77088449760).

37970989056 is an abundant number, since it is smaller than the sum of its proper divisors (116205910464).

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

37970989056 is an equidigital number, since it uses as much as digits as its factorization.

37970989056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 37970989056 in words is "thirty-seven billion, nine hundred seventy million, nine hundred eighty-nine thousand, fifty-six".