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21138044088 = 23372910134283
BaseRepresentation
bin10011101011111011…
…001111010010111000
32000120010221220020210
4103223323033102320
5321242314402323
613413301351120
71345551260460
oct235373172270
960503856223
1021138044088
118a67969427
12411b1084a0
131cbb3b8ac5
1410474c8ba0
1583ab19293
hex4ebecf4b8

21138044088 has 128 divisors (see below), whose sum is σ = 62553254400. Its totient is φ = 5824068096.

The previous prime is 21138044077. The next prime is 21138044089. The reversal of 21138044088 is 88044083112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21138044089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4933195 + ... + 4937477.

It is an arithmetic number, because the mean of its divisors is an integer number (488697300).

Almost surely, 221138044088 is an apocalyptic number.

21138044088 is a gapful number since it is divisible by the number (28) 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 21138044088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31276627200).

21138044088 is an abundant number, since it is smaller than the sum of its proper divisors (41415210312).

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

21138044088 is a wasteful number, since it uses less digits than its factorization.

21138044088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 21138044088 in words is "twenty-one billion, one hundred thirty-eight million, forty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1013 1218 1624 2026 2436 3039 4052 4283 4872 6078 7091 8104 8566 12156 12849 14182 17132 21273 24312 25698 28364 29377 29981 34264 42546 51396 56728 58754 59962 85092 88131 89943 102792 117508 119924 124207 170184 176262 179886 205639 235016 239848 248414 352524 359772 372621 411278 496828 616917 705048 719544 745242 822556 869449 993656 1233834 1490484 1645112 1738898 2467668 2608347 2980968 3477796 4338679 4935336 5216694 6955592 8677358 10433388 13016037 17354716 20866776 26032074 30370753 34709432 52064148 60741506 91112259 104128296 121483012 125821691 182224518 242966024 251643382 364449036 377465073 503286764 728898072 754930146 880751837 1006573528 1509860292 1761503674 2642255511 3019720584 3523007348 5284511022 7046014696 10569022044 21138044088