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61246311364216 = 23112379383038421
BaseRepresentation
bin11011110110100000001001…
…01000011111011001111000
322000212002102202002200112101
431323100010220133121320
531011424421202123331
6334132100024153144
715620620455641146
oct1573200450373170
9260762382080471
1061246311364216
1118573462093620
126a51b419087b4
13282366b960a94
14111a4a172c596
157132553b4061
hex37b404a1f678

61246311364216 has 64 divisors (see below), whose sum is σ = 132378078643200. Its totient is φ = 26291757148800.

The previous prime is 61246311364207. The next prime is 61246311364223.

61246311364216 is nontrivially palindromic in base 10.

61246311364216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×612463113642162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191359315 + ... + 191679106.

It is an arithmetic number, because the mean of its divisors is an integer number (2068407478800).

Almost surely, 261246311364216 is an apocalyptic number.

It is an amenable number.

61246311364216 is an abundant number, since it is smaller than the sum of its proper divisors (71131767278984).

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

61246311364216 is a wasteful number, since it uses less digits than its factorization.

61246311364216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383038540 (or 383038536 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

It can be divided in two parts, 6124631 and 1364216, that added together give a palindrome (7488847).

The spelling of 61246311364216 in words is "sixty-one trillion, two hundred forty-six billion, three hundred eleven million, three hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 79 88 92 158 184 253 316 506 632 869 1012 1738 1817 2024 3476 3634 6952 7268 14536 19987 39974 79948 159896 383038421 766076842 1532153684 3064307368 4213422631 8426845262 8809883683 16853690524 17619767366 30260035259 33707381048 35239534732 60520070518 70479069464 96908720513 121040141036 193817441026 242080282072 332860387849 387634882052 665720775698 695980810957 775269764104 1331441551396 1391961621914 2662883102792 2783923243828 5567846487656 7655788920527 15311577841054 30623155682108 61246311364216