Search a number
-
+
37950934980 = 223571719726981
BaseRepresentation
bin100011010110000011…
…010100111111000100
310121221212101020201110
4203112003110333010
51110210414404410
625233500125020
72512313424210
oct432603247704
9117855336643
1037950934980
111510534a182
127431836770
13376a6b955a
141ba03bd940
15ec1b81720
hex8d60d4fc4

37950934980 has 192 divisors, whose sum is σ = 129244211712. Its totient is φ = 8122490880.

The previous prime is 37950934943. The next prime is 37950935021. The reversal of 37950934980 is 8943905973.

It is a self number, because there is not a number n which added to its sum of digits gives 37950934980.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1393090 + ... + 1420070.

It is an arithmetic number, because the mean of its divisors is an integer number (673146936).

Almost surely, 237950934980 is an apocalyptic number.

37950934980 is a gapful number since it is divisible by the number (30) 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 37950934980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64622105856).

37950934980 is an abundant number, since it is smaller than the sum of its proper divisors (91293276732).

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

37950934980 is a wasteful number, since it uses less digits than its factorization.

37950934980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27214 (or 27212 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 37950934980 in words is "thirty-seven billion, nine hundred fifty million, nine hundred thirty-four thousand, nine hundred eighty".