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13888221800 = 2352294794999
BaseRepresentation
bin11001110111100110…
…10111001001101000
31022211220010202201012
430323303113021220
5211420341044200
610214040443052
71001106636365
oct147363271150
938756122635
1013888221800
1159875a2662
122837179488
13140440332b
1495a6db46c
15564403a35
hex33bcd7268

13888221800 has 96 divisors (see below), whose sum is σ = 33480000000. Its totient is φ = 5351458560.

The previous prime is 13888221799. The next prime is 13888221803. The reversal of 13888221800 is 812288831.

It is not an unprimeable number, because it can be changed into a prime (13888221803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2775701 + ... + 2780699.

It is an arithmetic number, because the mean of its divisors is an integer number (348750000).

Almost surely, 213888221800 is an apocalyptic number.

13888221800 is a gapful number since it is divisible by the number (10) 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 13888221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740000000).

13888221800 is an abundant number, since it is smaller than the sum of its proper divisors (19591778200).

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

13888221800 is a wasteful number, since it uses less digits than its factorization.

13888221800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The spelling of 13888221800 in words is "thirteen billion, eight hundred eighty-eight million, two hundred twenty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 479 580 725 958 1160 1450 1916 2395 2900 3832 4790 4999 5800 9580 9998 11975 13891 19160 19996 23950 24995 27782 39992 47900 49990 55564 69455 95800 99980 111128 124975 138910 144971 199960 249950 277820 289942 347275 499900 555640 579884 694550 724855 999800 1159768 1389100 1449710 2394521 2778200 2899420 3624275 4789042 5798840 7248550 9578084 11972605 14497100 19156168 23945210 28994200 47890420 59863025 69441109 95780840 119726050 138882218 239452100 277764436 347205545 478904200 555528872 694411090 1388822180 1736027725 2777644360 3472055450 6944110900 13888221800