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55115700200 = 23521126395257
BaseRepresentation
bin110011010101001001…
…101101011111101000
312021021002220200000122
4303111021231133220
51400334104401300
641153024422412
73660550502411
oct632511553750
9167232820018
1055115700200
1121413415360
12a822177a08
13527487b372
14294bd0c808
151678a52c85
hexcd526d7e8

55115700200 has 96 divisors (see below), whose sum is σ = 140326464960. Its totient is φ = 19965657600.

The previous prime is 55115700173. The next prime is 55115700217. The reversal of 55115700200 is 200751155.

It is a happy number.

It is a super-3 number, since 3×551157002003 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55115700200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530972 + ... + 626228.

It is an arithmetic number, because the mean of its divisors is an integer number (1461734010).

Almost surely, 255115700200 is an apocalyptic number.

55115700200 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 55115700200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70163232480).

55115700200 is an abundant number, since it is smaller than the sum of its proper divisors (85210764760).

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

55115700200 is a wasteful number, since it uses less digits than its factorization.

55115700200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95547 (or 95538 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

It can be divided in two parts, 551 and 15700200, that added together give a palindrome (15700751).

The spelling of 55115700200 in words is "fifty-five billion, one hundred fifteen million, seven hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 263 275 440 526 550 1052 1100 1315 2104 2200 2630 2893 5260 5786 6575 10520 11572 13150 14465 23144 26300 28930 52600 57860 72325 95257 115720 144650 190514 289300 381028 476285 578600 762056 952570 1047827 1905140 2095654 2381425 3810280 4191308 4762850 5239135 8382616 9525700 10478270 19051400 20956540 25052591 26195675 41913080 50105182 52391350 100210364 104782700 125262955 200420728 209565400 250525910 275578501 501051820 551157002 626314775 1002103640 1102314004 1252629550 1377892505 2204628008 2505259100 2755785010 5010518200 5511570020 6889462525 11023140040 13778925050 27557850100 55115700200