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20945953392 = 24371341116959
BaseRepresentation
bin10011100000011110…
…011110001001110000
32000001202111200100120
4103200132132021300
5320344131002032
613342240250240
71341026444340
oct234036361160
960052450316
1020945953392
118979498891
124086910980
131c8a670880
141029ba4d20
15828d2362c
hex4e079e270

20945953392 has 160 divisors (see below), whose sum is σ = 68222300160. Its totient is φ = 5389424640.

The previous prime is 20945953367. The next prime is 20945953423. The reversal of 20945953392 is 29335954902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120609 + ... + 237567.

It is an arithmetic number, because the mean of its divisors is an integer number (426389376).

Almost surely, 220945953392 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 20945953392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34111150080).

20945953392 is an abundant number, since it is smaller than the sum of its proper divisors (47276346768).

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

20945953392 is a wasteful number, since it uses less digits than its factorization.

20945953392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117031 (or 117025 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The spelling of 20945953392 in words is "twenty billion, nine hundred forty-five million, nine hundred fifty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 41 42 48 52 56 78 82 84 91 104 112 123 156 164 168 182 208 246 273 287 312 328 336 364 492 533 546 574 624 656 728 861 984 1066 1092 1148 1456 1599 1722 1968 2132 2184 2296 3198 3444 3731 4264 4368 4592 6396 6888 7462 8528 11193 12792 13776 14924 22386 25584 29848 44772 59696 89544 116959 179088 233918 350877 467836 701754 818713 935672 1403508 1520467 1637426 1871344 2456139 2807016 3040934 3274852 4561401 4795319 4912278 5614032 6081868 6549704 9122802 9590638 9824556 10643269 12163736 13099408 14385957 18245604 19181276 19649112 21286538 24327472 28771914 31929807 33567233 36491208 38362552 39298224 42573076 57543828 62339147 63859614 67134466 72982416 76725104 85146152 100701699 115087656 124678294 127719228 134268932 170292304 187017441 201403398 230175312 249356588 255438456 268537864 374034882 402806796 436374029 498713176 510876912 537075728 748069764 805613592 872748058 997426352 1309122087 1496139528 1611227184 1745496116 2618244174 2992279056 3490992232 5236488348 6981984464 10472976696 20945953392