Search a number
-
+
6056055104 = 2611113269283
BaseRepresentation
bin1011010001111100…
…00001000101000000
3120122001112110211012
411220332001011000
544400322230404
62440534140052
7303034422221
oct55076010500
916561473735
106056055104
112628537920
1212101b1628
13756894278
14416441248
15256a0ba6e
hex168f81140

6056055104 has 112 divisors (see below), whose sum is σ = 13322076480. Its totient is φ = 2708643840.

The previous prime is 6056055011. The next prime is 6056055143. The reversal of 6056055104 is 4015506506.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 21399347 + ... + 21399629.

Almost surely, 26056055104 is an apocalyptic number.

6056055104 is a gapful number since it is divisible by the number (64) 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 6056055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661038240).

6056055104 is an abundant number, since it is smaller than the sum of its proper divisors (7266021376).

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

6056055104 is a wasteful number, since it uses less digits than its factorization.

6056055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 6056055104 is about 77820.6598789807. The cubic root of 6056055104 is about 1822.7618880482.

The spelling of 6056055104 in words is "six billion, fifty-six million, fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 176 226 269 283 352 452 538 566 704 904 1076 1132 1243 1808 2152 2264 2486 2959 3113 3616 4304 4528 4972 5918 6226 7232 8608 9056 9944 11836 12452 17216 18112 19888 23672 24904 30397 31979 39776 47344 49808 60794 63958 76127 79552 94688 99616 121588 127916 152254 189376 199232 243176 255832 304508 334367 351769 486352 511664 609016 668734 703538 837397 972704 1023328 1218032 1337468 1407076 1674794 1945408 2046656 2436064 2674936 2814152 3349588 4872128 5349872 5628304 6699176 8602351 10699744 11256608 13398352 17204702 21399488 22513216 26796704 34409404 53593408 68818808 94625861 137637616 189251722 275275232 378503444 550550464 757006888 1514013776 3028027552 6056055104