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453501135110464 = 26721184531220833
BaseRepresentation
bin110011100011101001111011…
…0000100000100000101000000
32012110201021200211210221210121
41213013103312010010011000
5433420130311042013324
64244303313444310024
7164344242614645200
oct14707236604040500
92173637624727717
10453501135110464
1112155482a024181
1242a436846a2314
1316607c86b4348c
147ddb801a0a400
153766912ad45e4
hex19c74f6104140

453501135110464 has 84 divisors (see below), whose sum is σ = 1046851122734004. Its totient is φ = 194355829334016.

The previous prime is 453501135110363. The next prime is 453501135110483. The reversal of 453501135110464 is 464011531105354.

It can be written as a sum of positive squares in 2 ways, for example, as 210702411110464 + 242798724000000 = 14515592^2 + 15582000^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 453501135110464.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 370858192 + ... + 372079024.

It is an arithmetic number, because the mean of its divisors is an integer number (12462513365881).

Almost surely, 2453501135110464 is an apocalyptic number.

It is an amenable number.

453501135110464 is an abundant number, since it is smaller than the sum of its proper divisors (593349987623540).

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

453501135110464 is a wasteful number, since it uses less digits than its factorization.

453501135110464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339312 (or 1339295 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 453501135110464 in words is "four hundred fifty-three trillion, five hundred one billion, one hundred thirty-five million, one hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 118453 236906 473812 829171 947624 1220833 1658342 1895248 2441666 3316684 3790496 4883332 5804197 6633368 7580992 8545831 9766664 11608394 13266736 17091662 19533328 23216788 26533472 34183324 39066656 46433576 53066944 59820817 68366648 78133312 92867152 119641634 136733296 185734304 239283268 273466592 371468608 478566536 546933184 957133072 1914266144 3828532288 144611331349 289222662698 578445325396 1012279319443 1156890650792 2024558638886 2313781301584 4049117277772 4627562603168 7085955236101 8098234555544 9255125206336 14171910472202 16196469111088 28343820944404 32392938222176 56687641888808 64785876444352 113375283777616 226750567555232 453501135110464