Search a number
-
+
53636628900 = 223526710512539
BaseRepresentation
bin110001111100111111…
…100000000110100100
312010110000210001122010
4301330333200012210
51334321434111100
640350151034220
73606110552241
oct617477400644
9163400701563
1053636628900
112082452a188
12a48a96b970
13509a30614a
14284b6d65c8
1515ddc8e750
hexc7cfe01a4

53636628900 has 144 divisors (see below), whose sum is σ = 157716849920. Its totient is φ = 14070672000.

The previous prime is 53636628887. The next prime is 53636628959. The reversal of 53636628900 is 982663635.

53636628900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53636628900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21123831 + ... + 21126369.

Almost surely, 253636628900 is an apocalyptic number.

53636628900 is a gapful number since it is divisible by the number (50) 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 53636628900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78858424960).

53636628900 is an abundant number, since it is smaller than the sum of its proper divisors (104080221020).

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

53636628900 is a wasteful number, since it uses less digits than its factorization.

53636628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 53636628900 in words is "fifty-three billion, six hundred thirty-six million, six hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1051 1340 1675 2010 2102 2539 3153 3350 4020 4204 5025 5078 5255 6306 6700 7617 10050 10156 10510 12612 12695 15234 15765 20100 21020 25390 26275 30468 31530 38085 50780 52550 63060 63475 70417 76170 78825 105100 126950 140834 152340 157650 170113 190425 211251 253900 281668 315300 340226 352085 380850 422502 510339 680452 704170 761700 845004 850565 1020678 1056255 1408340 1701130 1760425 2041356 2112510 2551695 2668489 3402260 3520850 4225020 4252825 5103390 5281275 5336978 7041700 8005467 8505650 10206780 10562550 10673956 12758475 13342445 16010934 17011300 21125100 25516950 26684890 32021868 40027335 51033900 53369780 66712225 80054670 133424450 160109340 178788763 200136675 266848900 357577526 400273350 536366289 715155052 800546700 893943815 1072732578 1787887630 2145465156 2681831445 3575775260 4469719075 5363662890 8939438150 10727325780 13409157225 17878876300 26818314450 53636628900