Search a number
-
+
2158422715944 = 23381121931577
BaseRepresentation
bin11111011010001100000…
…001001110111000101000
321122100021012010200000000
4133122030001032320220
5240330422203402234
64331322105343000
7311640504241335
oct37321401167050
97570235120000
102158422715944
11762422398100
122aa397497a60
131286ccabc901
147667ab0398c
153b22b256899
hex1f68c04ee28

2158422715944 has 864 divisors, whose sum is σ = 7262563526400. Its totient is φ = 598615142400.

The previous prime is 2158422715927. The next prime is 2158422715973. The reversal of 2158422715944 is 4495172248512.

2158422715944 is a `hidden beast` number, since 2 + 1 + 5 + 8 + 42 + 2 + 7 + 1 + 594 + 4 = 666.

It is a super-2 number, since 2×21584227159442 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3740766984 + ... + 3740767560.

Almost surely, 22158422715944 is an apocalyptic number.

2158422715944 is a gapful number since it is divisible by the number (24) 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 2158422715944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631281763200).

2158422715944 is an abundant number, since it is smaller than the sum of its proper divisors (5104140810456).

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

2158422715944 is a wasteful number, since it uses less digits than its factorization.

2158422715944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 643 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 2158422715944 in words is "two trillion, one hundred fifty-eight billion, four hundred twenty-two million, seven hundred fifteen thousand, nine hundred forty-four".