Search a number
-
+
46756244265764 = 221119234159309143
BaseRepresentation
bin10101010000110010010010…
…10101001001101100100100
320010112212001001110200212212
422220121021111021230210
522112023242013001024
6243235304434302552
712564012214542515
oct1250311125115444
9203485031420785
1046756244265764
1113997236a56490
1252b180b727a58
1320121306b5607
14b7902b334a0c
155613858d9a0e
hex2a8649549b24

46756244265764 has 96 divisors (see below), whose sum is σ = 100436476815360. Its totient is φ = 18789136185600.

The previous prime is 46756244265737. The next prime is 46756244265779.

46756244265764 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×467562442657642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46756244265694 and 46756244265703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28866224 + ... + 30442919.

It is an arithmetic number, because the mean of its divisors is an integer number (1046213300160).

Almost surely, 246756244265764 is an apocalyptic number.

46756244265764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46756244265764 is an abundant number, since it is smaller than the sum of its proper divisors (53680232549596).

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

46756244265764 is a wasteful number, since it uses less digits than its factorization.

46756244265764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59309241 (or 59309239 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 68.

The spelling of 46756244265764 in words is "forty-six trillion, seven hundred fifty-six billion, two hundred forty-four million, two hundred sixty-five thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 19 22 23 38 41 44 46 76 82 92 164 209 253 418 437 451 506 779 836 874 902 943 1012 1558 1748 1804 1886 3116 3772 4807 8569 9614 10373 17138 17917 19228 20746 34276 35834 41492 71668 197087 394174 788348 59309143 118618286 237236572 652400573 1126873717 1304801146 1364110289 2253747434 2431674863 2609602292 2728220578 4507494868 4863349726 5456441156 9726699452 12395610887 15005213179 24791221774 25918095491 26748423493 30010426358 46201822397 49582443548 51836190982 53496846986 55928521849 60020852716 92403644794 103672381964 106993693972 111857043698 184807289588 223714087396 285099050401 508220046367 570198100802 615213740339 1016440092734 1062641915131 1140396201604 1230427480678 2032880185468 2125283830262 2460854961356 4250567660524 11689061066441 23378122132882 46756244265764