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46345322354364 = 22331172975346199
BaseRepresentation
bin10101000100110100111000…
…11110011101011010111100
320002002120101012101202002000
422202122130132131122330
522033310210010314424
6242322425215502300
712522224202121305
oct1242323436353274
9202076335352060
1046345322354364
1113848a39281430
12524604a827990
131cb2464391007
14b631a87cb7ac
155558352293c9
hex2a269c79d6bc

46345322354364 has 96 divisors (see below), whose sum is σ = 131095667136000. Its totient is φ = 14042109818880.

The previous prime is 46345322354333. The next prime is 46345322354393.

It is a happy number.

46345322354364 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 5 + 3 + 223 + 54 + 364 = 666.

46345322354364 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×463453223543642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46345322354364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5995737 + ... + 11341935.

It is an arithmetic number, because the mean of its divisors is an integer number (1365579866000).

Almost surely, 246345322354364 is an apocalyptic number.

46345322354364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46345322354364 is an abundant number, since it is smaller than the sum of its proper divisors (84750344781636).

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

46345322354364 is a wasteful number, since it uses less digits than its factorization.

46345322354364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353520 (or 5353512 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

It can be divided in two parts, 4634532 and 2354364, that added together give a palindrome (6988896).

The spelling of 46345322354364 in words is "forty-six trillion, three hundred forty-five billion, three hundred twenty-two million, three hundred fifty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 7297 14594 21891 29188 43782 65673 80267 87564 131346 160534 197019 240801 262692 321068 394038 481602 722403 788076 963204 1444806 2167209 2889612 4334418 5346199 8668836 10692398 16038597 21384796 32077194 48115791 58808189 64154388 96231582 117616378 144347373 176424567 192463164 235232756 288694746 352849134 529273701 577389492 705698268 1058547402 1587821103 2117094804 3175642206 6351284412 39011214103 78022428206 117033642309 156044856412 234067284618 351100926927 429123355133 468134569236 702201853854 858246710266 1053302780781 1287370065399 1404403707708 1716493420532 2106605561562 2574740130798 3862110196197 4213211123124 5149480261596 7724220392394 11586330588591 15448440784788 23172661177182 46345322354364