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231344621664 = 253131031799731
BaseRepresentation
bin1101011101110100110…
…1101100100001100000
3211010010210201110000220
43113131031230201200
512242243210343124
6254140034043040
722466635560432
oct3273515544140
9733123643026
10231344621664
118a12700a402
1238a04a19480
1318a7b1435a0
14b2a8d44652
156040154879
hex35dd36c860

231344621664 has 96 divisors (see below), whose sum is σ = 660343267584. Its totient is φ = 70491824640.

The previous prime is 231344621621. The next prime is 231344621687. The reversal of 231344621664 is 466126443132.

231344621664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 771322 + ... + 1028409.

It is an arithmetic number, because the mean of its divisors is an integer number (6878575704).

Almost surely, 2231344621664 is an apocalyptic number.

231344621664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231344621664 is an abundant number, since it is smaller than the sum of its proper divisors (428998645920).

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

231344621664 is a wasteful number, since it uses less digits than its factorization.

231344621664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799860 (or 1799852 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 231344621664 in words is "two hundred thirty-one billion, three hundred forty-four million, six hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 206 208 309 312 412 416 618 624 824 1236 1248 1339 1648 2472 2678 3296 4017 4944 5356 8034 9888 10712 16068 21424 32136 42848 64272 128544 1799731 3599462 5399193 7198924 10798386 14397848 21596772 23396503 28795696 43193544 46793006 57591392 70189509 86387088 93586012 140379018 172774176 185372293 187172024 280758036 370744586 374344048 556116879 561516072 741489172 748688096 1112233758 1123032144 1482978344 2224467516 2246064288 2409839809 2965956688 4448935032 4819679618 5931913376 7229519427 8897870064 9639359236 14459038854 17795740128 19278718472 28918077708 38557436944 57836155416 77114873888 115672310832 231344621664