Search a number
-
+
56801137115553 = 3315416416732617
BaseRepresentation
bin11001110101001000010111…
…00110011100000110100001
321110010010122220112000022120
430322210023212130012201
524421112212100144203
6320450025425054453
714651514062153115
oct1472441346340641
9243103586460276
1056801137115553
111710a25510aa56
126454535a87429
13259042a4a6a7c
14100529279d745
156877dbb52b53
hex33a90b99c1a1

56801137115553 has 64 divisors (see below), whose sum is σ = 78591182444544. Its totient is φ = 36452892672000.

The previous prime is 56801137115549. The next prime is 56801137115633. The reversal of 56801137115553 is 35551173110865.

It is not a de Polignac number, because 56801137115553 - 22 = 56801137115549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56801137115496 and 56801137115505.

It is not an unprimeable number, because it can be changed into a prime (56801137115953) 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, 21704674701 + ... + 21704677317.

It is an arithmetic number, because the mean of its divisors is an integer number (1227987225696).

Almost surely, 256801137115553 is an apocalyptic number.

It is an amenable number.

56801137115553 is a deficient number, since it is larger than the sum of its proper divisors (21790045328991).

56801137115553 is a wasteful number, since it uses less digits than its factorization.

56801137115553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506.

The product of its (nonzero) digits is 1890000, while the sum is 51.

The spelling of 56801137115553 in words is "fifty-six trillion, eight hundred one billion, one hundred thirty-seven million, one hundred fifteen thousand, five hundred fifty-three".

Divisors: 1 3 31 93 541 641 673 1623 1923 2019 2617 7851 16771 19871 20863 50313 59613 62589 81127 243381 346781 364093 431393 1040343 1092279 1294179 1415797 1677497 1761241 4247391 5032491 5283723 10750211 11286883 13373183 32250633 33860649 40119549 43889707 52002407 54598471 131669121 156007221 163795413 233383613 700150839 907525877 952831381 1128955481 2722577631 2858494143 3386866443 7234892003 21704676009 28133302187 29537772811 34997619911 84399906561 88613318433 104992859733 610764915221 1832294745663 18933712371851 56801137115553