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12020726928 = 2437176073467
BaseRepresentation
bin10110011000111110…
…11011110010010000
31011000202010012100110
423030133123302100
5144104301230203
65304445521320
7603612331050
oct131437336220
934022105313
1012020726928
115109429071
1223b5873240
131197540a92
14820695560
154a54b6d03
hex2cc7dbc90

12020726928 has 160 divisors (see below), whose sum is σ = 37650161664. Its totient is φ = 3226208256.

The previous prime is 12020726897. The next prime is 12020726929. The reversal of 12020726928 is 82962702021.

It is not an unprimeable number, because it can be changed into a prime (12020726929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3465451 + ... + 3468917.

Almost surely, 212020726928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020726928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18825080832).

12020726928 is an abundant number, since it is smaller than the sum of its proper divisors (25629434736).

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

12020726928 is a wasteful number, since it uses less digits than its factorization.

12020726928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 12020726928 in words is "twelve billion, twenty million, seven hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 607 714 816 952 1214 1428 1821 1904 2428 2856 3467 3642 4249 4856 5712 6934 7284 8498 9712 10319 10401 12747 13868 14568 16996 20638 20802 24269 25494 27736 29136 30957 33992 41276 41604 48538 50988 55472 58939 61914 67984 72233 72807 82552 83208 97076 101976 117878 123828 144466 145614 165104 166416 176817 194152 203952 216699 235756 247656 288932 291228 353634 388304 412573 433398 471512 495312 577864 582456 707268 825146 866796 943024 1155728 1164912 1237719 1414536 1650292 1733592 2104469 2475438 2829072 3300584 3467184 4208938 4950876 6313407 6601168 8417876 9901752 12626814 14731283 16835752 19803504 25253628 29462566 33671504 35775973 44193849 50507256 58925132 71551946 88387698 101014512 107327919 117850264 143103892 176775396 214655838 235700528 250431811 286207784 353550792 429311676 500863622 572415568 707101584 751295433 858623352 1001727244 1502590866 1717246704 2003454488 3005181732 4006908976 6010363464 12020726928