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2081355136 = 27761113337
BaseRepresentation
bin111110000001110…
…1111010110000000
312101001102210111021
41330003233112000
513230311331021
6542310355224
7102402140530
oct17403572600
95331383437
102081355136
11978963a13
124a105bb14
132722904b3
1415a5d54c0
15c2ad2c41
hex7c0ef580

2081355136 has 128 divisors (see below), whose sum is σ = 4873527360. Its totient is φ = 867041280.

The previous prime is 2081355091. The next prime is 2081355167. The reversal of 2081355136 is 6315531802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6175960 + ... + 6176296.

Almost surely, 22081355136 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 2081355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436763680).

2081355136 is an abundant number, since it is smaller than the sum of its proper divisors (2792172224).

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

2081355136 is a wasteful number, since it uses less digits than its factorization.

2081355136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 2081355136 is about 45621.8712461468. The cubic root of 2081355136 is about 1276.7780163006.

Adding to 2081355136 its reverse (6315531802), we get a palindrome (8396886938).

The spelling of 2081355136 in words is "two billion, eighty-one million, three hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 113 122 128 224 226 244 337 427 448 452 488 674 791 854 896 904 976 1348 1582 1708 1808 1952 2359 2696 3164 3416 3616 3904 4718 5392 6328 6832 6893 7232 7808 9436 10784 12656 13664 13786 14464 18872 20557 21568 25312 27328 27572 37744 38081 41114 43136 48251 50624 54656 55144 75488 76162 82228 96502 101248 110288 143899 150976 152324 164456 193004 220576 266567 287798 301952 304648 328912 386008 441152 533134 575596 609296 657824 772016 882304 1066268 1151192 1218592 1315648 1544032 2132536 2302384 2322941 2437184 2631296 3088064 4265072 4604768 4645882 4874368 6176128 8530144 9209536 9291764 16260587 17060288 18419072 18583528 32521174 34120576 37167056 65042348 74334112 130084696 148668224 260169392 297336448 520338784 1040677568 2081355136