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56867463961 = 721121921632
BaseRepresentation
bin110100111101100100…
…001010001100011001
312102210012011111010221
4310331210022030121
51412431032321321
642042523040041
74052141316400
oct647544121431
9172705144127
1056867463961
1122132223400
12b030970021
13549377ca79
142a7682a637
15172c72de41
hexd3d90a319

56867463961 has 81 divisors (see below), whose sum is σ = 77214554613. Its totient is φ = 41722536240.

The previous prime is 56867463931. The next prime is 56867464001. The reversal of 56867463961 is 16936476865.

The square root of 56867463961 is 238469.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 56867463961 - 29 = 56867463449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 56867463961.

It is not an unprimeable number, because it can be changed into a prime (56867463911) 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 80 ways as a sum of consecutive naturals, for example, 348880066 + ... + 348880228.

Almost surely, 256867463961 is an apocalyptic number.

56867463961 is the 238469-th square number.

56867463961 is the 119235-th centered octagonal number.

It is an amenable number.

56867463961 is a deficient number, since it is larger than the sum of its proper divisors (20347090652).

56867463961 is a wasteful number, since it uses less digits than its factorization.

56867463961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 61.

It can be divided in two parts, 5686 and 7463961, that added together give a palindrome (7469647).

The spelling of 56867463961 in words is "fifty-six billion, eight hundred sixty-seven million, four hundred sixty-three thousand, nine hundred sixty-one".

Divisors: 1 7 11 19 49 77 121 133 163 209 361 539 847 931 1141 1463 1793 2299 2527 3097 3971 5929 7987 10241 12551 16093 17689 19723 21679 26569 27797 34067 43681 58843 87857 112651 138061 151753 185983 194579 238469 292259 305767 374737 411901 504811 647273 966427 1301881 1669283 2045813 2140369 2623159 2883307 3214849 3533677 4530911 5552921 7120003 9591409 14320691 18362113 22503943 24735739 31716377 38870447 49840021 61082131 67139863 105505499 157527601 272093129 348880147 427574917 469979041 738538493 1160560489 2993024419 5169769451 8123923423 56867463961