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20637852816 = 2437613133217
BaseRepresentation
bin10011001110000111…
…001010010010010000
31222021021202112211010
4103032013022102100
5314231242242231
613251512450520
71330265566050
oct231607122220
958237675733
1020637852816
118830591309
123bbb6a9a40
131c3b897939
14ddacc3560
1580bc64546
hex4ce1ca490

20637852816 has 160 divisors (see below), whose sum is σ = 62146839808. Its totient is φ = 5779537920.

The previous prime is 20637852799. The next prime is 20637852841. The reversal of 20637852816 is 61825873602.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6413640 + ... + 6416856.

Almost surely, 220637852816 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 20637852816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31073419904).

20637852816 is an abundant number, since it is smaller than the sum of its proper divisors (41508986992).

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

20637852816 is a wasteful number, since it uses less digits than its factorization.

20637852816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 20637852816 in words is "twenty billion, six hundred thirty-seven million, eight hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 313 336 366 427 488 626 732 854 939 976 1252 1281 1464 1708 1878 2191 2504 2562 2928 3217 3416 3756 4382 5008 5124 6434 6573 6832 7512 8764 9651 10248 12868 13146 15024 17528 19093 19302 20496 22519 25736 26292 35056 38186 38604 45038 51472 52584 57279 67557 76372 77208 90076 105168 114558 133651 135114 152744 154416 180152 196237 229116 267302 270228 305488 360304 392474 400953 458232 534604 540456 588711 784948 801906 916464 1006921 1069208 1080912 1177422 1373659 1569896 1603812 2013842 2138416 2354844 2747318 3020763 3139792 3207624 4027684 4120977 4709688 5494636 6041526 6415248 7048447 8055368 8241954 9419376 10989272 12083052 14096894 16110736 16483908 21145341 21978544 24166104 28193788 32967816 42290682 48332208 56387576 61422181 65935632 84581364 112775152 122844362 169162728 184266543 245688724 338325456 368533086 429955267 491377448 737066172 859910534 982754896 1289865801 1474132344 1719821068 2579731602 2948264688 3439642136 5159463204 6879284272 10318926408 20637852816