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56541936040 = 23515721134261
BaseRepresentation
bin110100101010001010…
…010111100110101000
312101221111121221210021
4310222022113212220
51411244213423130
641550333530224
74041106345402
oct645212274650
9171844557707
1056541936040
1121a854a3467
12ab5b943974
1354411b46b5
142a454cdb72
15170dd7b37a
hexd2a2979a8

56541936040 has 64 divisors (see below), whose sum is σ = 128120322960. Its totient is φ = 22456811520.

The previous prime is 56541936023. The next prime is 56541936043. The reversal of 56541936040 is 4063914565.

It can be written as a sum of positive squares in 8 ways, for example, as 14506275364 + 42035660676 = 120442^2 + 205026^2 .

It is not an unprimeable number, because it can be changed into a prime (56541936043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13267510 + ... + 13271770.

Almost surely, 256541936040 is an apocalyptic number.

It is an amenable number.

56541936040 is an abundant number, since it is smaller than the sum of its proper divisors (71578386920).

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

56541936040 is a wasteful number, since it uses less digits than its factorization.

56541936040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 56541936040 in words is "fifty-six billion, five hundred forty-one million, nine hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 2113 3140 4226 4261 6280 8452 8522 10565 16904 17044 21130 21305 34088 42260 42610 84520 85220 170440 331741 663482 668977 1326964 1337954 1658705 2653928 2675908 3317410 3344885 5351816 6634820 6689770 9003493 13269640 13379540 18006986 26759080 36013972 45017465 72027944 90034930 180069860 360139720 1413548401 2827096802 5654193604 7067742005 11308387208 14135484010 28270968020 56541936040