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2686780152 = 233372253853
BaseRepresentation
bin1010000000100101…
…0000001011111000
320221020122120111000
42200021100023320
521000303431102
61122335005000
7123403153200
oct24011201370
96836576430
102686780152
111159687771
1262b969760
1333a838454
141b6b91400
1510ad2301c
hexa02502f8

2686780152 has 96 divisors (see below), whose sum is σ = 8681806800. Its totient is φ = 767648448.

The previous prime is 2686780141. The next prime is 2686780153. The reversal of 2686780152 is 2510876862.

It is a super-2 number, since 2×26867801522 = 14437575170362286208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2686780098 and 2686780107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686780153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116343 + ... + 137510.

Almost surely, 22686780152 is an apocalyptic number.

It is an amenable number.

2686780152 is an abundant number, since it is smaller than the sum of its proper divisors (5995026648).

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

2686780152 is a wasteful number, since it uses less digits than its factorization.

2686780152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253882 (or 253865 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2686780152 is about 51834.1600877259. The cubic root of 2686780152 is about 1390.2002975511.

The spelling of 2686780152 in words is "two billion, six hundred eighty-six million, seven hundred eighty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 253853 507706 761559 1015412 1523118 1776971 2030824 2284677 3046236 3553942 4569354 5330913 6092472 6854031 7107884 9138708 10661826 12438797 13708062 14215768 15992739 18277416 21323652 24877594 27416124 31985478 37316391 42647304 47978217 49755188 54832248 63970956 74632782 95956434 99510376 111949173 127941912 149265564 191912868 223898346 298531128 335847519 383825736 447796692 671695038 895593384 1343390076 2686780152