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20445434646 = 237131012291619
BaseRepresentation
bin10011000010101001…
…001001001100010110
31221202212200200201020
4103002221021030112
5313333012402041
613220440342010
71322441220120
oct230251111426
957685620636
1020445434646
118741a0772a
123b67174906
131c0aa66630
14dbd516210
157e9e06866
hex4c2a49316

20445434646 has 128 divisors (see below), whose sum is σ = 51078988800. Its totient is φ = 5312217600.

The previous prime is 20445434629. The next prime is 20445434677. The reversal of 20445434646 is 64643454402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20445434598 and 20445434607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12627625 + ... + 12629243.

It is an arithmetic number, because the mean of its divisors is an integer number (399054600).

Almost surely, 220445434646 is an apocalyptic number.

20445434646 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20445434646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25539494400).

20445434646 is an abundant number, since it is smaller than the sum of its proper divisors (30633554154).

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

20445434646 is a wasteful number, since it uses less digits than its factorization.

20445434646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974.

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 20445434646 in words is "twenty billion, four hundred forty-five million, four hundred thirty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 101 182 202 229 273 303 458 546 606 687 707 1313 1374 1414 1603 1619 2121 2626 2977 3206 3238 3939 4242 4809 4857 5954 7878 8931 9191 9618 9714 11333 17862 18382 20839 21047 22666 23129 27573 33999 41678 42094 46258 55146 62517 63141 67998 69387 125034 126282 138774 147329 161903 163519 294658 300677 323806 327038 370751 441987 485709 490557 601354 741502 883974 902031 971418 981114 1112253 1144633 1804062 2104739 2125747 2224506 2289266 2595257 3433899 4209478 4251494 4819763 5190514 6314217 6377241 6867798 7785771 9639526 12628434 12754482 14459289 14880229 15571542 28918578 29760458 33738341 37445851 44640687 67476682 74891702 89281374 101215023 112337553 202430046 224675106 262120957 486796063 524241914 786362871 973592126 1460388189 1572725742 2920776378 3407572441 6815144882 10222717323 20445434646