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669146031720 = 23345415037233
BaseRepresentation
bin10011011110011000011…
…01100010011001101000
32100222011221022102010000
421233030031202121220
541430402341003340
61231222413423000
766226030265145
oct11571415423150
92328157272100
10669146031720
11238868543661
12a982779aa60
134b13c1a758a
142455b6c33cc
15126154e5d30
hex9bcc362668

669146031720 has 160 divisors (see below), whose sum is σ = 2303930086920. Its totient is φ = 174086737920.

The previous prime is 669146031689. The next prime is 669146031737. The reversal of 669146031720 is 27130641966.

669146031720 is a `hidden beast` number, since 6 + 6 + 9 + 1 + 4 + 603 + 17 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 330470917956 + 338675113764 = 574866^2 + 581958^2 .

It is a super-3 number, since 3×6691460317203 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 2385777 + ... + 2651456.

Almost surely, 2669146031720 is an apocalyptic number.

669146031720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

669146031720 is an abundant number, since it is smaller than the sum of its proper divisors (1634784055200).

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

669146031720 is a wasteful number, since it uses less digits than its factorization.

669146031720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037297 (or 5037284 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 669146031720 in words is "six hundred sixty-nine billion, one hundred forty-six million, thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 984 1080 1107 1230 1476 1620 1640 1845 2214 2460 2952 3240 3321 3690 4428 4920 5535 6642 7380 8856 11070 13284 14760 16605 22140 26568 33210 44280 66420 132840 5037233 10074466 15111699 20148932 25186165 30223398 40297864 45335097 50372330 60446796 75558495 90670194 100744660 120893592 136005291 151116990 181340388 201489320 206526553 226675485 272010582 302233980 362680776 408015873 413053106 453350970 544021164 604467960 619579659 680026455 816031746 826106212 906701940 1032632765 1088042328 1239159318 1360052910 1632063492 1652212424 1813403880 1858738977 2040079365 2065265530 2478318636 2720105820 3097898295 3264126984 3717477954 4080158730 4130531060 4956637272 5440211640 5576216931 6195796590 7434955908 8160317460 8261062120 9293694885 11152433862 12391593180 14869911816 16320634920 16728650793 18587389770 22304867724 24783186360 27881084655 33457301586 37174779540 44609735448 55762169310 66914603172 74349559080 83643253965 111524338620 133829206344 167286507930 223048677240 334573015860 669146031720