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21148003888 = 2411149857941
BaseRepresentation
bin10011101100100001…
…001110111000110000
32000120211200220112021
4103230201032320300
5321302342111023
613414255041224
71346032032004
oct235441167060
960524626467
1021148003888
118a72551370
124122510214
131cc049528b
14104895c704
1583b93535d
hex4ec84ee30

21148003888 has 80 divisors (see below), whose sum is σ = 45099568800. Its totient is φ = 9526937600.

The previous prime is 21148003853. The next prime is 21148003939. The reversal of 21148003888 is 88830084112.

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, 22473498 + ... + 22474438.

It is an arithmetic number, because the mean of its divisors is an integer number (563744610).

Almost surely, 221148003888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21148003888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22549784400).

21148003888 is an abundant number, since it is smaller than the sum of its proper divisors (23951564912).

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

21148003888 is a wasteful number, since it uses less digits than its factorization.

21148003888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The spelling of 21148003888 in words is "twenty-one billion, one hundred forty-eight million, three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 149 176 298 596 857 941 1192 1639 1714 1882 2384 3278 3428 3764 6556 6856 7528 9427 10351 13112 13712 15056 18854 20702 26224 37708 41404 75416 82808 127693 140209 150832 165616 255386 280418 510772 560836 806437 1021544 1121672 1404623 1542299 1612874 2043088 2243344 2809246 3084598 3225748 5618492 6169196 6451496 8870807 11236984 12338392 12902992 17741614 22473968 24676784 35483228 70966456 120159113 141932912 240318226 480636452 961272904 1321750243 1922545808 2643500486 5287000972 10574001944 21148003888