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56114623584 = 253380592
BaseRepresentation
bin110100010000101100…
…010011010001100000
312100211201120020022000
4310100230103101200
51404410320423314
641440111044000
74024400300445
oct642054232140
9170751506260
1056114623584
1121886273278
12aa60810600
1353a37cc4a6
142a048599cc
1516d65c0209
hexd10b13460

56114623584 has 72 divisors (see below), whose sum is σ = 163687963320. Its totient is φ = 18702553536.

The previous prime is 56114623577. The next prime is 56114623597. The reversal of 56114623584 is 48532641165.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56114623584 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 4 + 62 + 3 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6958947 + ... + 6967005.

It is an arithmetic number, because the mean of its divisors is an integer number (2273443935).

Almost surely, 256114623584 is an apocalyptic number.

56114623584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56114623584 is an abundant number, since it is smaller than the sum of its proper divisors (107573339736).

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

56114623584 is an frugal number, since it uses more digits than its factorization.

56114623584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16137 (or 8064 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 56114623584 in words is "fifty-six billion, one hundred fourteen million, six hundred twenty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 8059 16118 24177 32236 48354 64472 72531 96708 128944 145062 193416 217593 257888 290124 386832 435186 580248 773664 870372 1160496 1740744 2320992 3481488 6962976 64947481 129894962 194842443 259789924 389684886 519579848 584527329 779369772 1039159696 1169054658 1558739544 1753581987 2078319392 2338109316 3117479088 3507163974 4676218632 6234958176 7014327948 9352437264 14028655896 18704874528 28057311792 56114623584