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20013137322500 = 225473461330427
BaseRepresentation
bin1001000110011101010111…
…11100001110001000000100
32121212020101221122122011202
410203032223330032020010
510110343401123310000
6110321524112322032
74133621125305440
oct443165374161004
977766357578152
1020013137322500
116416584305963
1222b281b243318
13b222ccc6614a
144d28d8d31820
1524a8c33b0dd5
hex1233abf0e204

20013137322500 has 120 divisors (see below), whose sum is σ = 50031435765696. Its totient is φ = 6859643760000.

The previous prime is 20013137322467. The next prime is 20013137322511. The reversal of 20013137322500 is 522373131002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60402287 + ... + 60732713.

Almost surely, 220013137322500 is an apocalyptic number.

20013137322500 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 20013137322500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25015717882848).

20013137322500 is an abundant number, since it is smaller than the sum of its proper divisors (30018298443196).

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

20013137322500 is a wasteful number, since it uses less digits than its factorization.

20013137322500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333919 (or 333902 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The spelling of 20013137322500 in words is "twenty trillion, thirteen billion, one hundred thirty-seven million, three hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 625 700 875 1250 1750 2500 3461 3500 4375 6922 8750 13844 17305 17500 24227 34610 48454 69220 86525 96908 121135 173050 242270 330427 346100 432625 484540 605675 660854 865250 1211350 1321708 1652135 1730500 2163125 2312989 2422700 3028375 3304270 4326250 4625978 6056750 6608540 8260675 8652500 9251956 11564945 12113500 15141875 16521350 23129890 30283750 33042700 41303375 46259780 57824725 60567500 82606750 115649450 165213500 206516875 231298900 289123625 413033750 578247250 826067500 1143607847 1156494500 1445618125 2287215694 2891236250 4574431388 5718039235 5782472500 8005254929 11436078470 16010509858 22872156940 28590196175 32021019716 40026274645 57180392350 80052549290 114360784700 142950980875 160105098580 200131373225 285901961750 400262746450 571803923500 714754904375 800525492900 1000656866125 1429509808750 2001313732250 2859019617500 4002627464500 5003284330625 10006568661250 20013137322500