Search a number
-
+
69152733144 = 233211175136121
BaseRepresentation
bin100000001100111010…
…0101111011111011000
320121111101001211020200
41000121310233133120
52113111044430034
651433543022200
74665445350615
oct1003164573730
9217441054220
1069152733144
1127366a07a30
121149b13a960
1366a0a55411
1434c02a550c
151beb04da99
hex1019d2f7d8

69152733144 has 96 divisors (see below), whose sum is σ = 216333458640. Its totient is φ = 19722700800.

The previous prime is 69152733131. The next prime is 69152733149. The reversal of 69152733144 is 44133725196.

69152733144 is a `hidden beast` number, since 6 + 91 + 527 + 3 + 31 + 4 + 4 = 666.

It is a super-2 number, since 2×691527331442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 69152733144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69152733149) by changing a digit.

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, 2554597 + ... + 2581524.

Almost surely, 269152733144 is an apocalyptic number.

It is an amenable number.

69152733144 is an abundant number, since it is smaller than the sum of its proper divisors (147180725496).

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

69152733144 is a wasteful number, since it uses less digits than its factorization.

69152733144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136161 (or 5136154 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 69152733144 in words is "sixty-nine billion, one hundred fifty-two million, seven hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 13464 5136121 10272242 15408363 20544484 30816726 41088968 46225089 56497331 61633452 87314057 92450178 112994662 123266904 169491993 174628114 184900356 225989324 261942171 338983986 349256228 369800712 451978648 508475979 523884342 677967972 698512456 785826513 960454627 1016951958 1047768684 1355935944 1571653026 1920909254 2033903916 2095537368 2881363881 3143306052 3841818508 4067807832 5762727762 6286612104 7683637016 8644091643 11525455524 17288183286 23050911048 34576366572 69152733144