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2042683776 = 27327236187
BaseRepresentation
bin111100111000000…
…1110000110000000
312021100200002100200
41321300032012000
513140411340101
6534405445200
7101422345200
oct17160160600
95240602320
102042683776
11959050611
12490110800
13267270633
1415540a400
15be4e4986
hex79c0e180

2042683776 has 144 divisors (see below), whose sum is σ = 6837903540. Its totient is φ = 583607808.

The previous prime is 2042683733. The next prime is 2042683801. The reversal of 2042683776 is 6773862402.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38355 + ... + 74541.

Almost surely, 22042683776 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 2042683776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418951770).

2042683776 is an abundant number, since it is smaller than the sum of its proper divisors (4795219764).

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

2042683776 is a wasteful number, since it uses less digits than its factorization.

2042683776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36221 (or 36199 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2042683776 is about 45196.0592972440. The cubic root of 2042683776 is about 1268.8210639546.

The spelling of 2042683776 in words is "two billion, forty-two million, six hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 36187 56448 72374 108561 144748 217122 253309 289496 325683 434244 506618 578992 651366 759927 868488 1013236 1157984 1302732 1519854 1736976 1773163 2026472 2279781 2315968 2605464 3039708 3473952 3546326 4052944 4559562 4631936 5210928 5319489 6079416 6947904 7092652 8105888 9119124 10421856 10638978 12158832 13895808 14185304 15958467 16211776 18238248 20843712 21277956 24317664 28370608 31916934 32423552 36476496 41687424 42555912 48635328 56741216 63833868 72952992 85111824 97270656 113482432 127667736 145905984 170223648 226964864 255335472 291811968 340447296 510670944 680894592 1021341888 2042683776