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2731390656 = 26331617523
BaseRepresentation
bin1010001011001101…
…1011011011000000
321001100121000120220
42202303123123000
521043214000111
61131011103040
7124454303031
oct24263333300
97040530526
102731390656
111181887255
126428a1a80
13346b576b7
141bca84a88
1510ebd5e06
hexa2cdb6c0

2731390656 has 112 divisors (see below), whose sum is σ = 7583228928. Its totient is φ = 866534400.

The previous prime is 2731390621. The next prime is 2731390667. The reversal of 2731390656 is 6560931372.

It is a super-2 number, since 2×27313906562 = 14920989831368220672, which contains 22 as substring.

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, 359311 + ... + 366833.

Almost surely, 22731390656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791614464).

2731390656 is an abundant number, since it is smaller than the sum of its proper divisors (4851838272).

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

2731390656 is a wasteful number, since it uses less digits than its factorization.

2731390656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 2731390656 is about 52262.7080813844. The cubic root of 2731390656 is about 1397.8522605802.

The spelling of 2731390656 in words is "two billion, seven hundred thirty-one million, three hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 64 93 96 122 124 183 186 192 244 248 366 372 488 496 732 744 976 992 1464 1488 1891 1952 1984 2928 2976 3782 3904 5673 5856 5952 7523 7564 11346 11712 15046 15128 22569 22692 30092 30256 45138 45384 60184 60512 90276 90768 120368 121024 180552 181536 233213 240736 361104 363072 458903 466426 481472 699639 722208 917806 932852 1376709 1399278 1444416 1835612 1865704 2753418 2798556 3671224 3731408 5506836 5597112 7342448 7462816 11013672 11194224 14225993 14684896 14925632 22027344 22388448 28451986 29369792 42677979 44054688 44776896 56903972 85355958 88109376 113807944 170711916 227615888 341423832 455231776 682847664 910463552 1365695328 2731390656