Search a number
-
+
21519168960 = 2635191179779
BaseRepresentation
bin10100000010101001…
…000111010111000000
32001112201010001021210
4110002221013113000
5323032401401320
613515154250120
71361156626632
oct240251072700
961481101253
1021519168960
119143012163
124206886940
13204c34bc93
141081d78a52
1585e3000e0
hex502a475c0

21519168960 has 112 divisors (see below), whose sum is σ = 71919388800. Its totient is φ = 5436417024.

The previous prime is 21519168917. The next prime is 21519169027. The reversal of 21519168960 is 6986191512.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571650 + ... + 608129.

It is an arithmetic number, because the mean of its divisors is an integer number (642137400).

Almost surely, 221519168960 is an apocalyptic number.

21519168960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21519168960 is an abundant number, since it is smaller than the sum of its proper divisors (50400219840).

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

21519168960 is a wasteful number, since it uses less digits than its factorization.

21519168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179818 (or 1179808 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 21519168960 in words is "twenty-one billion, five hundred nineteen million, one hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 1179779 2359558 3539337 4719116 5898895 7078674 9438232 11797790 14157348 17696685 18876464 22415801 23595580 28314696 35393370 37752928 44831602 47191160 56629392 67247403 70786740 75505856 89663204 94382320 112079005 113258784 134494806 141573480 179326408 188764640 224158010 226517568 268989612 283146960 336237015 358652816 377529280 448316020 537979224 566293920 672474030 717305632 896632040 1075958448 1132587840 1344948060 1434611264 1793264080 2151916896 2689896120 3586528160 4303833792 5379792240 7173056320 10759584480 21519168960