Search a number
-
+
2705092715136 = 27371006358897
BaseRepresentation
bin100111010111010100000…
…101110010001010000000
3100120121022120011222112010
4213113110011302022000
5323310012213341021
65430411420532520
7366302501460420
oct47272405621200
910517276158463
102705092715136
11953250352769
123783220b1140
13168120b22906
1494cda2ac480
154a574202976
hex275d4172280

2705092715136 has 64 divisors (see below), whose sum is σ = 8211888607680. Its totient is φ = 772883632128.

The previous prime is 2705092715111. The next prime is 2705092715177. The reversal of 2705092715136 is 6315172905072.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 503176761 + ... + 503182136.

It is an arithmetic number, because the mean of its divisors is an integer number (128310759495).

Almost surely, 22705092715136 is an apocalyptic number.

It is an amenable number.

2705092715136 is an abundant number, since it is smaller than the sum of its proper divisors (5506795892544).

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

2705092715136 is a wasteful number, since it uses less digits than its factorization.

2705092715136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006358921 (or 1006358909 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 2705092715136 in words is "two trillion, seven hundred five billion, ninety-two million, seven hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 1006358897 2012717794 3019076691 4025435588 6038153382 7044512279 8050871176 12076306764 14089024558 16101742352 21133536837 24152613528 28178049116 32203484704 42267073674 48305227056 56356098232 64406969408 84534147348 96610454112 112712196464 128813938816 169068294696 193220908224 225424392928 338136589392 386441816448 450848785856 676273178784 901697571712 1352546357568 2705092715136