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2041232632104 = 2334359143923297
BaseRepresentation
bin11101101101000010111…
…100100010100100101000
321020010210000022120211110
4131231002330202210220
5231420421023211404
64201421311230320
7300321435044331
oct35550274424450
97203700276743
102041232632104
11717755673646
1228b7308183a0
1311a644ac5133
1470b20a43288
153816cce8b89
hex1db42f22928

2041232632104 has 128 divisors (see below), whose sum is σ = 5314180608000. Its totient is φ = 652841140224.

The previous prime is 2041232632099. The next prime is 2041232632121. The reversal of 2041232632104 is 4012362321402.

It is a super-2 number, since 2×20412326321042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87606184 + ... + 87629480.

It is an arithmetic number, because the mean of its divisors is an integer number (41517036000).

Almost surely, 22041232632104 is an apocalyptic number.

2041232632104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041232632104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657090304000).

2041232632104 is an abundant number, since it is smaller than the sum of its proper divisors (3272947975896).

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

2041232632104 is a wasteful number, since it uses less digits than its factorization.

2041232632104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24847 (or 24843 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2041232632104 its reverse (4012362321402), we get a palindrome (6053594953506).

The spelling of 2041232632104 in words is "two trillion, forty-one billion, two hundred thirty-two million, six hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 59 86 118 129 172 177 236 258 344 354 472 516 708 1032 1416 1439 2537 2878 4317 5074 5756 7611 8634 10148 11512 15222 17268 20296 23297 30444 34536 46594 60888 61877 69891 84901 93188 123754 139782 169802 185631 186376 247508 254703 279564 339604 371262 495016 509406 559128 679208 742524 1001771 1018812 1374523 1485048 2003542 2037624 2749046 3005313 3650743 4007084 4123569 5498092 6010626 7301486 8014168 8247138 10952229 10996184 12021252 14602972 16494276 21904458 24042504 29205944 32988552 33524383 43808916 59104489 67048766 87617832 100573149 118208978 134097532 177313467 201146298 236417956 268195064 354626934 402292596 472835912 709253868 804585192 1418507736 1441548469 1977938597 2883096938 3955877194 4324645407 5766193876 5933815791 7911754388 8649290814 11532387752 11867631582 15823508776 17298581628 23735263164 34597163256 47470526328 85051359671 170102719342 255154079013 340205438684 510308158026 680410877368 1020616316052 2041232632104