Search a number
-
+
2104616256 = 263151229317
BaseRepresentation
bin111110101110001…
…1110010101000000
312102200012120202020
41331130132111000
513302240210011
6544501121440
7103103641311
oct17534362500
95380176666
102104616256
11990001386
124a89b9280
13277046082
1415d72c608
15c4b7a006
hex7d71e540

2104616256 has 112 divisors (see below), whose sum is σ = 5647578240. Its totient is φ = 691660800.

The previous prime is 2104616237. The next prime is 2104616279. The reversal of 2104616256 is 6526164012.

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, 6639010 + ... + 6639326.

Almost surely, 22104616256 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 2104616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823789120).

2104616256 is an abundant number, since it is smaller than the sum of its proper divisors (3542961984).

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

2104616256 is a wasteful number, since it uses less digits than its factorization.

2104616256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2104616256 is about 45876.0967825294. The cubic root of 2104616256 is about 1281.5168086324.

The spelling of 2104616256 in words is "two billion, one hundred four million, six hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 229 302 317 453 458 604 634 687 906 916 951 1208 1268 1374 1812 1832 1902 2416 2536 2748 3624 3664 3804 4832 5072 5496 7248 7328 7608 9664 10144 10992 14496 14656 15216 20288 21984 28992 30432 34579 43968 47867 60864 69158 72593 95734 103737 138316 143601 145186 191468 207474 217779 276632 287202 290372 382936 414948 435558 553264 574404 580744 765872 829896 871116 1106528 1148808 1161488 1531744 1659792 1742232 2213056 2297616 2322976 3063488 3319584 3484464 4595232 4645952 6639168 6968928 9190464 10961543 13937856 21923086 32884629 43846172 65769258 87692344 131538516 175384688 263077032 350769376 526154064 701538752 1052308128 2104616256