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21399261600 = 2535242121179
BaseRepresentation
bin10011111011011111…
…101101000110100000
32001020100111010022110
4103323133231012200
5322311202332400
613455232235320
71355202502533
oct237337550640
961210433273
1021399261600
119091363a72
12419269bb40
132030558292
141070084a1a
15853a16e50
hex4fb7ed1a0

21399261600 has 144 divisors (see below), whose sum is σ = 69823343520. Its totient is φ = 5692646400.

The previous prime is 21399261599. The next prime is 21399261619. The reversal of 21399261600 is 616299312.

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, 999811 + ... + 1020989.

It is an arithmetic number, because the mean of its divisors is an integer number (484884330).

Almost surely, 221399261600 is an apocalyptic number.

21399261600 is a gapful number since it is divisible by the number (20) 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 21399261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34911671760).

21399261600 is an abundant number, since it is smaller than the sum of its proper divisors (48424081920).

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

21399261600 is a wasteful number, since it uses less digits than its factorization.

21399261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21623 (or 21610 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 21399261600 in words is "twenty-one billion, three hundred ninety-nine million, two hundred sixty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 421 480 600 800 842 1200 1263 1684 2105 2400 2526 3368 4210 5052 6315 6736 8420 10104 10525 12630 13472 16840 20208 21050 21179 25260 31575 33680 40416 42100 42358 50520 63150 63537 67360 84200 84716 101040 105895 126300 127074 168400 169432 202080 211790 252600 254148 317685 336800 338864 423580 505200 508296 529475 635370 677728 847160 1010400 1016592 1058950 1270740 1588425 1694320 2033184 2117900 2541480 3176850 3388640 4235800 5082960 6353700 8471600 8916359 10165920 12707400 16943200 17832718 25414800 26749077 35665436 44581795 50829600 53498154 71330872 89163590 106996308 133745385 142661744 178327180 213992616 222908975 267490770 285323488 356654360 427985232 445817950 534981540 668726925 713308720 855970464 891635900 1069963080 1337453850 1426617440 1783271800 2139926160 2674907700 3566543600 4279852320 5349815400 7133087200 10699630800 21399261600