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20044296960 = 283544311783
BaseRepresentation
bin10010101010101110…
…111011001100000000
31220201220212210020220
4102222232323030000
5312022320000320
613112550503040
71306500466362
oct225256731400
956656783226
1020044296960
118556534a86
123a74964a80
131b7591725c
14d82136d32
157c4abae40
hex4aabbb300

20044296960 has 144 divisors (see below), whose sum is σ = 64166425344. Its totient is φ = 5332627456.

The previous prime is 20044296959. The next prime is 20044297061. The reversal of 20044296960 is 6969244002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1695229 + ... + 1707011.

It is an arithmetic number, because the mean of its divisors is an integer number (445600176).

Almost surely, 220044296960 is an apocalyptic number.

20044296960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20044296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32083212672).

20044296960 is an abundant number, since it is smaller than the sum of its proper divisors (44122128384).

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

20044296960 is a wasteful number, since it uses less digits than its factorization.

20044296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12250 (or 12236 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 20044296960 in words is "twenty billion, forty-four million, two hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 443 480 640 768 886 960 1280 1329 1772 1920 2215 2658 3544 3840 4430 5316 6645 7088 8860 10632 11783 13290 14176 17720 21264 23566 26580 28352 35349 35440 42528 47132 53160 56704 58915 70698 70880 85056 94264 106320 113408 117830 141396 141760 170112 176745 188528 212640 235660 282792 283520 340224 353490 377056 425280 471320 565584 567040 706980 754112 850560 942640 1131168 1413960 1508224 1701120 1885280 2262336 2827920 3016448 3770560 4524672 5219869 5655840 7541120 9049344 10439738 11311680 15082240 15659607 20879476 22623360 26099345 31319214 41758952 45246720 52198690 62638428 78298035 83517904 104397380 125276856 156596070 167035808 208794760 250553712 313192140 334071616 417589520 501107424 626384280 668143232 835179040 1002214848 1252768560 1336286464 1670358080 2004429696 2505537120 3340716160 4008859392 5011074240 6681432320 10022148480 20044296960