Search a number
-
+
20004721596 = 223219792391549
BaseRepresentation
bin10010101000010111…
…111101001110111100
31220122011102011001200
4102220113331032330
5311432202042341
613105014335500
71305510220326
oct225027751674
956564364050
1020004721596
118536164472
123a6365a590
131b6a66ba92
14d7ab94616
157c139edb6
hex4a85fd3bc

20004721596 has 144 divisors (see below), whose sum is σ = 54163200000. Its totient is φ = 6207207552.

The previous prime is 20004721589. The next prime is 20004721603. The reversal of 20004721596 is 69512740002.

20004721596 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 47 + 21 + 596 = 666.

It is an interprime number because it is at equal distance from previous prime (20004721589) and next prime (20004721603).

It is a super-2 number, since 2×200047215962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20004721596.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12913830 + ... + 12915378.

Almost surely, 220004721596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20004721596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27081600000).

20004721596 is an abundant number, since it is smaller than the sum of its proper divisors (34158478404).

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

20004721596 is a wasteful number, since it uses less digits than its factorization.

20004721596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20004721596 in words is "twenty billion, four million, seven hundred twenty-one thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 79 114 158 171 228 237 239 316 342 474 478 684 711 717 948 956 1422 1434 1501 1549 2151 2844 2868 3002 3098 4302 4503 4541 4647 6004 6196 8604 9006 9082 9294 13509 13623 13941 18012 18164 18588 18881 27018 27246 27882 29431 37762 40869 54036 54492 55764 56643 58862 75524 81738 88293 113286 117724 122371 163476 169929 176586 226572 244742 264879 339858 353172 358739 367113 370211 489484 529758 679716 717478 734226 740422 1059516 1076217 1101339 1110633 1434956 1468452 1480844 2152434 2202678 2221266 2325049 3228651 3331899 4304868 4405356 4442532 4650098 6457302 6663798 6975147 7034009 9300196 12914604 13327596 13950294 14068018 20925441 21102027 27900588 28136036 29246669 41850882 42204054 58493338 63306081 83701764 84408108 87740007 116986676 126612162 175480014 253224324 263220021 350960028 526440042 555686711 1052880084 1111373422 1667060133 2222746844 3334120266 5001180399 6668240532 10002360798 20004721596