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450861691644 = 22357135097247
BaseRepresentation
bin1101000111110010111…
…00110111001011111100
31121002202022211000100000
412203321130313023330
524341331043113034
6543042322434300
744400526101210
oct6437134671374
91532668730300
10450861691644
11164233742101
1273468802990
1333692a80b80
1417b7111a940
15badbc4e599
hex68f97372fc

450861691644 has 144 divisors (see below), whose sum is σ = 1454632245248. Its totient is φ = 118908554688.

The previous prime is 450861691619. The next prime is 450861691717. The reversal of 450861691644 is 446196168054.

450861691644 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 616 + 9 + 16 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2460172 + ... + 2637075.

Almost surely, 2450861691644 is an apocalyptic number.

It is an amenable number.

450861691644 is an abundant number, since it is smaller than the sum of its proper divisors (1003770553604).

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

450861691644 is a wasteful number, since it uses less digits than its factorization.

450861691644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097286 (or 5097272 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 450861691644 in words is "four hundred fifty billion, eight hundred sixty-one million, six hundred ninety-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4914 6318 6804 7371 9828 12636 14742 22113 29484 44226 88452 5097247 10194494 15291741 20388988 30583482 35680729 45875223 61166964 66264211 71361458 91750446 107042187 132528422 137625669 142722916 183500892 198792633 214084374 265056844 275251338 321126561 397585266 412877007 428168748 463849477 550502676 596377899 642253122 795170532 825754014 927698954 963379683 1192755798 1238631021 1284506244 1391548431 1651508028 1789133697 1855397908 1926759366 2385511596 2477262042 2783096862 2890139049 3578267394 3853518732 4174645293 4954524084 5367401091 5566193724 5780278098 7156534788 8349290586 8670417147 10734802182 11560556196 12523935879 16102203273 16698581172 17340834294 21469604364 25047871758 32204406546 34681668588 37571807637 50095743516 64408813092 75143615274 112715422911 150287230548 225430845822 450861691644