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13921798000 = 2453112921821
BaseRepresentation
bin11001111011100110…
…11100011101110000
31022221020022121121011
430331303130131300
5212002440014000
610221240240304
71001665221235
oct147563343560
938836277534
1013921798000
1159a4545990
122846470094
13140b35acc6
14960d5b78c
155673372ba
hex33dcdc770

13921798000 has 160 divisors (see below), whose sum is σ = 37991229120. Its totient is φ = 4887680000.

The previous prime is 13921797917. The next prime is 13921798003. The reversal of 13921798000 is 89712931.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13921798003) 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, 627090 + ... + 648910.

It is an arithmetic number, because the mean of its divisors is an integer number (237445182).

Almost surely, 213921798000 is an apocalyptic number.

13921798000 is a gapful number since it is divisible by the number (10) 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 13921798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995614560).

13921798000 is an abundant number, since it is smaller than the sum of its proper divisors (24069431120).

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

13921798000 is a wasteful number, since it uses less digits than its factorization.

13921798000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21884 (or 21868 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The spelling of 13921798000 in words is "thirteen billion, nine hundred twenty-one million, seven hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 125 145 176 200 220 232 250 275 290 319 400 440 464 500 550 580 638 725 880 1000 1100 1160 1276 1375 1450 1595 2000 2200 2320 2552 2750 2900 3190 3625 4400 5104 5500 5800 6380 7250 7975 11000 11600 12760 14500 15950 21821 22000 25520 29000 31900 39875 43642 58000 63800 79750 87284 109105 127600 159500 174568 218210 240031 319000 349136 436420 480062 545525 632809 638000 872840 960124 1091050 1200155 1265618 1745680 1920248 2182100 2400310 2531236 2727625 3164045 3840496 4364200 4800620 5062472 5455250 6000775 6328090 6960899 8728400 9601240 10124944 10910500 12001550 12656180 13921798 15820225 19202480 21821000 24003100 25312360 27843596 30003875 31640450 34804495 43642000 48006200 50624720 55687192 60007750 63280900 69608990 79101125 96012400 111374384 120015500 126561800 139217980 158202250 174022475 240031000 253123600 278435960 316404500 348044950 480062000 556871920 632809000 696089900 870112375 1265618000 1392179800 1740224750 2784359600 3480449500 6960899000 13921798000