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54332344323345 = 35113144129240707
BaseRepresentation
bin11000101101010001111000…
…00101010100110100010001
321010101010021111022212020210
430112220330011110310101
524110140120121321340
6311315533455354333
714305245066522444
oct1426507405246421
9233333244285223
1054332344323345
1116348243a248a0
126115b802229a9
132441697305b7a
14d5b9b15bd65b
15643497b2c180
hex316a3c154d11

54332344323345 has 64 divisors (see below), whose sum is σ = 97896444272640. Its totient is φ = 25492498483200.

The previous prime is 54332344323307. The next prime is 54332344323359.

It is a happy number.

54332344323345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54332344323345 - 227 = 54332210105617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54332344323294 and 54332344323303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225599482 + ... + 225840188.

It is an arithmetic number, because the mean of its divisors is an integer number (1529631941760).

Almost surely, 254332344323345 is an apocalyptic number.

54332344323345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54332344323345 is a deficient number, since it is larger than the sum of its proper divisors (43564099949295).

54332344323345 is a wasteful number, since it uses less digits than its factorization.

54332344323345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284886.

The product of its digits is 18662400, while the sum is 48.

It can be divided in two parts, 5433234 and 4323345, that added together give a palindrome (9756579).

The spelling of 54332344323345 in words is "fifty-four trillion, three hundred thirty-two billion, three hundred forty-four million, three hundred twenty-three thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 1023 1705 5115 44129 132387 220645 240707 485419 661935 722121 1203535 1367999 1456257 2427095 2647777 3610605 4103997 6839995 7281285 7461917 7943331 13238885 15047989 20519985 22385751 37309585 39716655 45143967 75239945 82081087 111928755 225719835 246243261 410405435 1231216305 10622159203 31866477609 53110796015 116843751233 159332388045 329286935293 350531253699 584218756165 987860805879 1646434676465 1752656268495 3622156288223 4939304029395 10866468864669 18110781441115 54332344323345