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56138829513 = 313171132273301
BaseRepresentation
bin110100010010001000…
…101000111011001001
312100220102010000120220
4310102020220323021
51404433020021023
641442333540253
74025113114614
oct642210507311
9170812100526
1056138829513
11218989a6578
12aa68944689
1353a8826120
142a07b5b17b
1516d87a23e3
hexd12228ec9

56138829513 has 64 divisors (see below), whose sum is σ = 86512188672. Its totient is φ = 32075366400.

The previous prime is 56138829431. The next prime is 56138829517. The reversal of 56138829513 is 31592883165.

It is a happy number.

It is not a de Polignac number, because 56138829513 - 29 = 56138829001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (56138829517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17004963 + ... + 17008263.

It is an arithmetic number, because the mean of its divisors is an integer number (1351752948).

Almost surely, 256138829513 is an apocalyptic number.

It is an amenable number.

56138829513 is a deficient number, since it is larger than the sum of its proper divisors (30373359159).

56138829513 is a wasteful number, since it uses less digits than its factorization.

56138829513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674.

The product of its digits is 1555200, while the sum is 51.

The spelling of 56138829513 in words is "fifty-six billion, one hundred thirty-eight million, eight hundred twenty-nine thousand, five hundred thirteen".

Divisors: 1 3 13 17 39 51 113 221 227 339 663 681 1469 1921 2951 3301 3859 4407 5763 8853 9903 11577 24973 25651 42913 50167 56117 74919 76953 128739 150501 168351 333463 373013 436067 729521 749327 1000389 1119039 1308201 2188563 2247981 4849169 5668871 6341221 9741251 12738559 14547507 17006613 19023663 29223753 38215677 82435873 84673951 165601267 247307619 254021853 496803801 1100761363 1439457167 3302284089 4318371501 18712943171 56138829513