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2742524265156 = 2231353400782781
BaseRepresentation
bin100111111010001011001…
…011110100001011000100
3100201011221020020202000120
4213322023023310023010
5324413142202441111
65455522004541540
7402066210423024
oct47721313641304
910634836222016
102742524265156
119681094a5275
123836299b18b0
1316b807a2a890
1496a4b6cba84
154b51548c406
hex27e8b2f42c4

2742524265156 has 96 divisors (see below), whose sum is σ = 7023336139008. Its totient is φ = 827715233280.

The previous prime is 2742524265149. The next prime is 2742524265167. The reversal of 2742524265156 is 6515624252472.

2742524265156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×27425242651563 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2742524265099 and 2742524265108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33088486 + ... + 33171266.

It is an arithmetic number, because the mean of its divisors is an integer number (73159751448).

Almost surely, 22742524265156 is an apocalyptic number.

2742524265156 is a gapful number since it is divisible by the number (26) 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 2742524265156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511668069504).

2742524265156 is an abundant number, since it is smaller than the sum of its proper divisors (4280811873852).

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

2742524265156 is a wasteful number, since it uses less digits than its factorization.

2742524265156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86861 (or 86859 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 51.

The spelling of 2742524265156 in words is "two trillion, seven hundred forty-two billion, five hundred twenty-four million, two hundred sixty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2756 4007 4134 8014 8268 12021 16028 24042 48084 52091 82781 104182 156273 165562 208364 212371 248343 312546 331124 424742 496686 625092 637113 849484 993372 1076153 1274226 2152306 2548452 2760823 3228459 4304612 4387393 5521646 6456918 8282469 8774786 11043292 12913836 13162179 16564938 17549572 26324358 33129876 52648716 57036109 114072218 171108327 228144436 331703467 342216654 663406934 684433308 995110401 1326813868 1990220802 3980441604 4312145071 8624290142 12936435213 17248580284 17580283751 25872870426 35160567502 51745740852 52740851253 70321135004 105481702506 210963405012 228543688763 457087377526 685631066289 914174755052 1371262132578 2742524265156