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2742540161322 = 2313314724132307
BaseRepresentation
bin100111111010001100001…
…000011101000100101010
3100201011222100011100110110
4213322030020131010222
5324413210240130242
65455523333355150
7402066462510363
oct47721410350452
910634870140413
102742540161322
119681174722a5
12383633198ab6
1316b80b1050b0
1496a4d868b6a
154b516a7c39c
hex27e8c21d12a

2742540161322 has 64 divisors (see below), whose sum is σ = 6227293814784. Its totient is φ = 799261974720.

The previous prime is 2742540161311. The next prime is 2742540161329. The reversal of 2742540161322 is 2231610452472.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2742540161329) 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 31 ways as a sum of consecutive naturals, for example, 11952508 + ... + 12179799.

It is an arithmetic number, because the mean of its divisors is an integer number (97301465856).

Almost surely, 22742540161322 is an apocalyptic number.

2742540161322 is an abundant number, since it is smaller than the sum of its proper divisors (3484753653462).

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

2742540161322 is a wasteful number, since it uses less digits than its factorization.

2742540161322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24132403.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 2742540161322 in words is "two trillion, seven hundred forty-two billion, five hundred forty million, one hundred sixty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 31 39 47 62 78 93 94 141 186 282 403 611 806 1209 1222 1457 1833 2418 2914 3666 4371 8742 18941 37882 56823 113646 24132307 48264614 72396921 144793842 313719991 627439982 748101517 941159973 1134218429 1496203034 1882319946 2244304551 2268436858 3402655287 4488609102 6805310574 9725319721 14744839577 19450639442 29175959163 29489679154 35160771299 44234518731 58351918326 70321542598 88469037462 105482313897 210964627794 457090026887 914180053774 1371270080661 2742540161322