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645365736630 = 234517379123661
BaseRepresentation
bin10010110010000101100…
…10111010010010110110
32021200210122111020220000
421121002302322102312
541033202112033010
61212251003252130
764424523151566
oct11310262722266
92250718436800
10645365736630
11229775151a1a
12a50ab81a046
1348b1c574554
1423343318da6
1511bc29527c0
hex9642cba4b6

645365736630 has 160 divisors (see below), whose sum is σ = 1842257118240. Its totient is φ = 161545466880.

The previous prime is 645365736601. The next prime is 645365736667. The reversal of 645365736630 is 36637563546.

645365736630 is a `hidden beast` number, since 6 + 4 + 5 + 3 + 6 + 573 + 6 + 63 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5157000 + ... + 5280660.

It is an arithmetic number, because the mean of its divisors is an integer number (11514106989).

Almost surely, 2645365736630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645365736630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921128559120).

645365736630 is an abundant number, since it is smaller than the sum of its proper divisors (1196891381610).

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

645365736630 is a wasteful number, since it uses less digits than its factorization.

645365736630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124076 (or 124067 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 54.

The spelling of 645365736630 in words is "six hundred forty-five billion, three hundred sixty-five million, seven hundred thirty-six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 379 405 459 510 758 765 810 918 1137 1377 1530 1895 2274 2295 2754 3411 3790 4590 5685 6443 6822 6885 10233 11370 12886 13770 17055 19329 20466 30699 32215 34110 38658 51165 57987 61398 64430 96645 102330 115974 123661 153495 173961 193290 247322 289935 306990 347922 370983 521883 579870 618305 741966 869805 1043766 1112949 1236610 1739610 1854915 2102237 2225898 2609415 3338847 3709830 4204474 5218830 5564745 6306711 6677694 10016541 10511185 11129490 12613422 16694235 18920133 20033082 21022370 31533555 33388470 37840266 46867519 50082705 56760399 63067110 93735038 94600665 100165410 113520798 140602557 170281197 189201330 234337595 281205114 283801995 340562394 421807671 468675190 567603990 703012785 796747823 843615342 851405985 1265423013 1406025570 1593495646 1702811970 2109038355 2390243469 2530846026 3796269039 3983739115 4218076710 4780486938 6327115065 7170730407 7592538078 7967478230 11951217345 12654230130 14341460814 18981345195 21512191221 23902434690 35853652035 37962690390 43024382442 64536573663 71707304070 107560956105 129073147326 215121912210 322682868315 645365736630