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450062894268 = 22351335617513
BaseRepresentation
bin1101000110010011101…
…01101100010010111100
31121000200122201220100000
412203021311230102330
524333212100104033
6542431145434300
744341656323661
oct6431165542274
91530618656300
10450062894268
11163963852889
127328519b990
133359642c4c0
1417ad6dc5a68
15ba91a63a13
hex68c9d6c4bc

450062894268 has 72 divisors (see below), whose sum is σ = 1270547959408. Its totient is φ = 138480886656.

The previous prime is 450062894261. The next prime is 450062894273. The reversal of 450062894268 is 862498260054.

450062894268 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 628 + 9 + 4 + 2 + 6 + 8 = 666.

450062894268 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450062894261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17796121 + ... + 17821392.

Almost surely, 2450062894268 is an apocalyptic number.

It is an amenable number.

450062894268 is an abundant number, since it is smaller than the sum of its proper divisors (820485065140).

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

450062894268 is a wasteful number, since it uses less digits than its factorization.

450062894268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35617545 (or 35617531 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 450062894268 in words is "four hundred fifty billion, sixty-two million, eight hundred ninety-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 12636 35617513 71235026 106852539 142470052 213705078 320557617 427410156 463027669 641115234 926055338 961672851 1282230468 1389083007 1852110676 1923345702 2778166014 2885018553 3846691404 4167249021 5556332028 5770037106 8334498042 8655055659 11540074212 12501747063 16668996084 17310111318 25003494126 34620222636 37505241189 50006988252 75010482378 112515723567 150020964756 225031447134 450062894268