Search a number
-
+
39976590368 = 251113219113313
BaseRepresentation
bin100101001110110010…
…100101110000100000
310211012001000012112002
4211032302211300200
51123333001342433
630210501023132
72613441261101
oct451662456040
9124161005462
1039976590368
1115a5481a040
1278b80b4aa8
133a01277200
141d134363a8
15108e9109e8
hex94eca5c20

39976590368 has 288 divisors, whose sum is σ = 99046100160. Its totient is φ = 15699640320.

The previous prime is 39976590287. The next prime is 39976590371. The reversal of 39976590368 is 86309567993.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127720580 + ... + 127720892.

It is an arithmetic number, because the mean of its divisors is an integer number (343910070).

Almost surely, 239976590368 is an apocalyptic number.

39976590368 is a gapful number since it is divisible by the number (38) 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 39976590368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49523050080).

39976590368 is an abundant number, since it is smaller than the sum of its proper divisors (59069509792).

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

39976590368 is a wasteful number, since it uses less digits than its factorization.

39976590368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 65.

The spelling of 39976590368 in words is "thirty-nine billion, nine hundred seventy-six million, five hundred ninety thousand, three hundred sixty-eight".