Search a number
-
+
21138295920 = 2435787714347
BaseRepresentation
bin10011101011111100…
…001100110001110000
32000120011102200200220
4103223330030301300
5321242400432140
613413311013040
71345553356620
oct235374146160
960504380626
1021138295920
118a68020655
12411b20a180
131cbb476611
141047552880
1583ab68bd0
hex4ebf0cc70

21138295920 has 160 divisors (see below), whose sum is σ = 74980581888. Its totient is φ = 4825764864.

The previous prime is 21138295883. The next prime is 21138295921. The reversal of 21138295920 is 2959283112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21138295921) 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, 1466187 + ... + 1480533.

Almost surely, 221138295920 is an apocalyptic number.

21138295920 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 21138295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37490290944).

21138295920 is an abundant number, since it is smaller than the sum of its proper divisors (53842285968).

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

21138295920 is a wasteful number, since it uses less digits than its factorization.

21138295920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15247 (or 15241 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 21138295920 in words is "twenty-one billion, one hundred thirty-eight million, two hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 877 1680 1754 2631 3508 4385 5262 6139 7016 8770 10524 12278 13155 14032 14347 17540 18417 21048 24556 26310 28694 30695 35080 36834 42096 43041 49112 52620 57388 61390 70160 71735 73668 86082 92085 98224 100429 105240 114776 122780 143470 147336 172164 184170 200858 210480 215205 229552 245560 286940 294672 301287 344328 368340 401716 430410 491120 502145 573880 602574 688656 736680 803432 860820 1004290 1147760 1205148 1473360 1506435 1606864 1721640 2008580 2410296 3012870 3443280 4017160 4820592 6025740 8034320 12051480 12582319 24102960 25164638 37746957 50329276 62911595 75493914 88076233 100658552 125823190 150987828 176152466 188734785 201317104 251646380 264228699 301975656 352304932 377469570 440381165 503292760 528457398 603951312 704609864 754939140 880762330 1006585520 1056914796 1321143495 1409219728 1509878280 1761524660 2113829592 2642286990 3019756560 3523049320 4227659184 5284573980 7046098640 10569147960 21138295920