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20829994276 = 2272134612
BaseRepresentation
bin10011011001100100…
…000111110100100100
31222202200022100100111
4103121210013310210
5320124434304101
613322535022404
71335121013200
oct233144076444
958680270314
1020829994276
118919a97003
124053b0aa04
131c6c630000
14101861bb00
1581da6a251
hex4d9907d24

20829994276 has 135 divisors (see below), whose sum is σ = 46702871397. Its totient is φ = 8105348160.

The previous prime is 20829994247. The next prime is 20829994307. The reversal of 20829994276 is 67249992802.

The square root of 20829994276 is 144326.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 14191003876 + 6638990400 = 119126^2 + 81480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20829994276.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 341475286 + ... + 341475346.

Almost surely, 220829994276 is an apocalyptic number.

20829994276 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20829994276 is the 144326-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20829994276

20829994276 is an abundant number, since it is smaller than the sum of its proper divisors (25872877121).

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

20829994276 is an frugal number, since it uses more digits than its factorization.

20829994276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 20829994276 in words is "twenty billion, eight hundred twenty-nine million, nine hundred ninety-four thousand, two hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 61 91 98 122 169 182 196 244 338 364 427 637 676 793 854 1183 1274 1586 1708 2197 2366 2548 2989 3172 3721 4394 4732 5551 5978 7442 8281 8788 10309 11102 11956 14884 15379 16562 20618 22204 26047 28561 30758 33124 38857 41236 48373 52094 57122 61516 72163 77714 96746 104188 107653 114244 134017 144326 155428 182329 193492 199927 215306 268034 288652 338611 364658 399854 430612 505141 536068 628849 677222 729316 799708 938119 1010282 1257698 1354444 1399489 1742221 1876238 2020564 2370277 2515396 2798978 3484442 3752476 4401943 4740554 5597956 6566833 6968884 8175037 8803886 9481108 12195547 13133666 16350074 17607772 24391094 26267332 30813601 32700148 48782188 57225259 61627202 85368829 106275481 114450518 123254404 170737658 212550962 228901036 341475316 400576813 425101924 743928367 801153626 1487856734 1602307252 2975713468 5207498569 10414997138 20829994276