Search a number
-
+
76039596122112 = 21334727132939
BaseRepresentation
bin10001010010100001011001…
…000111011010000000000000
3100222020022111012020201220000
4101102201121013122000000
534431313043101401422
6425420035212520000
722005452035442400
oct2122413107320000
9328208435221800
1076039596122112
1122257236732137
128640b96a80000
13335767054a64c
1414ac49c32c800
158bce6ec87cac
hex4528591da000

76039596122112 has 840 divisors, whose sum is σ = 267984545035680. Its totient is φ = 21418954260480.

The previous prime is 76039596122069. The next prime is 76039596122131. The reversal of 76039596122112 is 21122169593067.

76039596122112 is a `hidden beast` number, since 7 + 6 + 0 + 3 + 9 + 5 + 9 + 612 + 2 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2308480939 + ... + 2308513877.

Almost surely, 276039596122112 is an apocalyptic number.

76039596122112 is a gapful number since it is divisible by the number (72) 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 76039596122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133992272517840).

76039596122112 is an abundant number, since it is smaller than the sum of its proper divisors (191944948913568).

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

76039596122112 is an equidigital number, since it uses as much as digits as its factorization.

76039596122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33062 (or 33022 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 76039596122112 in words is "seventy-six trillion, thirty-nine billion, five hundred ninety-six million, one hundred twenty-two thousand, one hundred twelve".