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2156137056 = 253730809
BaseRepresentation
bin1000000010000100…
…0000101001100000
312120021011010000000
42000201000221200
513403432341211
6553541300000
7104300601603
oct20041005140
95507133000
102156137056
11a070a0757
12502104600
13284914758
1416650033a
15c9455656
hex80840a60

2156137056 has 96 divisors (see below), whose sum is σ = 6366578400. Its totient is φ = 718689024.

The previous prime is 2156137021. The next prime is 2156137073. The reversal of 2156137056 is 6507316512.

2156137056 is a `hidden beast` number, since 21 + 561 + 3 + 70 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2156137056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54580 + ... + 85388.

It is an arithmetic number, because the mean of its divisors is an integer number (66318525).

Almost surely, 22156137056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2156137056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183289200).

2156137056 is an abundant number, since it is smaller than the sum of its proper divisors (4210441344).

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

2156137056 is an frugal number, since it uses more digits than its factorization.

2156137056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30840 (or 30814 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2156137056 is about 46434.2228964801. Note that the first 3 decimals coincide. The cubic root of 2156137056 is about 1291.8897559830.

The spelling of 2156137056 in words is "two billion, one hundred fifty-six million, one hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 17496 23328 30809 34992 61618 69984 92427 123236 184854 246472 277281 369708 492944 554562 739416 831843 985888 1109124 1478832 1663686 2218248 2495529 2957664 3327372 4436496 4991058 6654744 7486587 8872992 9982116 13309488 14973174 19964232 22459761 26618976 29946348 39928464 44919522 59892696 67379283 79856928 89839044 119785392 134758566 179678088 239570784 269517132 359356176 539034264 718712352 1078068528 2156137056