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2722145676744 = 2331365913239493
BaseRepresentation
bin100111100111001100100…
…001101010110111001000
3100122020100000100012002210
4213213030201222313020
5324044423243123434
65442311513025120
7400445210322564
oct47471441526710
910566300305083
102722145676744
1195a5012a516a
1237b6a10b51a0
1316990aa9a440
1495a770166a4
154ac2138bee9
hex279cc86adc8

2722145676744 has 64 divisors (see below), whose sum is σ = 7339975473600. Its totient is φ = 836312230656.

The previous prime is 2722145676689. The next prime is 2722145676751. The reversal of 2722145676744 is 4476765412272.

2722145676744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414139 + ... + 6825354.

It is an arithmetic number, because the mean of its divisors is an integer number (114687116775).

Almost surely, 22722145676744 is an apocalyptic number.

2722145676744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2722145676744 is an abundant number, since it is smaller than the sum of its proper divisors (4617829796856).

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

2722145676744 is a wasteful number, since it uses less digits than its factorization.

2722145676744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13240174 (or 13240170 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 57.

The spelling of 2722145676744 in words is "two trillion, seven hundred twenty-two billion, one hundred forty-five million, six hundred seventy-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 659 1318 1977 2636 3954 5272 7908 8567 15816 17134 25701 34268 51402 68536 102804 205608 13239493 26478986 39718479 52957972 79436958 105915944 158873916 172113409 317747832 344226818 516340227 688453636 1032680454 1376907272 2065360908 4130721816 8724825887 17449651774 26174477661 34899303548 52348955322 69798607096 104697910644 113422736531 209395821288 226845473062 340268209593 453690946124 680536419186 907381892248 1361072838372 2722145676744