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2136894552 = 2332134315297
BaseRepresentation
bin111111101011110…
…0110110001011000
312111220221111020200
41333113212301120
513334021111202
6552013022200
7103645206162
oct17727466130
95456844220
102136894552
119a7248561
124b7784960
13280938060
14163b31932
15c7903e1c
hex7f5e6c58

2136894552 has 96 divisors (see below), whose sum is σ = 6248249280. Its totient is φ = 655856640.

The previous prime is 2136894491. The next prime is 2136894569. The reversal of 2136894552 is 2554986312.

2136894552 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 8 + 94 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2136894498 and 2136894507.

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 23 ways as a sum of consecutive naturals, for example, 400768 + ... + 406064.

It is an arithmetic number, because the mean of its divisors is an integer number (65085930).

Almost surely, 22136894552 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 2136894552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124124640).

2136894552 is an abundant number, since it is smaller than the sum of its proper divisors (4111354728).

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

2136894552 is a wasteful number, since it uses less digits than its factorization.

2136894552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5746 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2136894552 is about 46226.5567828710. The cubic root of 2136894552 is about 1288.0350976766.

The spelling of 2136894552 in words is "two billion, one hundred thirty-six million, eight hundred ninety-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 431 468 862 936 1293 1724 2586 3448 3879 5172 5297 5603 7758 10344 10594 11206 15516 15891 16809 21188 22412 31032 31782 33618 42376 44824 47673 50427 63564 67236 68861 95346 100854 127128 134472 137722 190692 201708 206583 275444 381384 403416 413166 550888 619749 826332 1239498 1652664 2283007 2478996 4566014 4957992 6849021 9132028 13698042 18264056 20547063 27396084 29679091 41094126 54792168 59358182 82188252 89037273 118716364 164376504 178074546 237432728 267111819 356149092 534223638 712298184 1068447276 2136894552