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450640599354 = 232112533903881
BaseRepresentation
bin1101000111011000100…
…01011101100100111010
31121002011220210100201200
412203230101131210322
524340402443134404
6543004343555030
744362202615241
oct6435421354472
91532156710650
10450640599354
1116412a963200
127340675ba76
133365902022a
1417b4da07958
15bac762a839
hex68ec45d93a

450640599354 has 72 divisors (see below), whose sum is σ = 1093469540436. Its totient is φ = 133981161600.

The previous prime is 450640599307. The next prime is 450640599359. The reversal of 450640599354 is 453995046054.

450640599354 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 40 + 599 + 3 + 5 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 429739247025 + 20901352329 = 655545^2 + 144573^2 .

It is a super-2 number, since 2×4506405993542 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 450640599354.

It is not an unprimeable number, because it can be changed into a prime (450640599359) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1836507 + ... + 2067374.

Almost surely, 2450640599354 is an apocalyptic number.

450640599354 is an abundant number, since it is smaller than the sum of its proper divisors (642828941082).

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

450640599354 is a wasteful number, since it uses less digits than its factorization.

450640599354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903964 (or 3903950 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 450640599354 in words is "four hundred fifty billion, six hundred forty million, five hundred ninety-nine thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 121 159 198 242 318 363 477 583 726 954 1089 1166 1749 2178 3498 5247 6413 10494 12826 19239 38478 57717 115434 3903881 7807762 11711643 23423286 35134929 42942691 70269858 85885382 128828073 206905693 257656146 386484219 413811386 472369601 620717079 772968438 944739202 1241434158 1417108803 1862151237 2275962623 2834217606 3724302474 4251326409 4551925246 6827887869 8502652818 13655775738 20483663607 25035588853 40967327214 50071177706 75106766559 150213533118 225320299677 450640599354