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20717910528 = 29377924391
BaseRepresentation
bin10011010010111000…
…100011101000000000
31222110212101220100120
4103102320203220000
5314412241114103
613303452420240
71332260222340
oct232270435000
958425356316
1020717910528
1188717a1907
124022477680
131c52348373
1410077a2d20
15813cca253
hex4d2e23a00

20717910528 has 160 divisors (see below), whose sum is σ = 63879720960. Its totient is φ = 5844234240.

The previous prime is 20717910511. The next prime is 20717910553. The reversal of 20717910528 is 82501971702.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20717910528.

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, 837213 + ... + 861603.

It is an arithmetic number, because the mean of its divisors is an integer number (399248256).

Almost surely, 220717910528 is an apocalyptic number.

20717910528 is a gapful number since it is divisible by the number (28) 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 20717910528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31939860480).

20717910528 is an abundant number, since it is smaller than the sum of its proper divisors (43161810432).

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

20717910528 is an equidigital number, since it uses as much as digits as its factorization.

20717910528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24498 (or 24482 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 20717910528 in words is "twenty billion, seven hundred seventeen million, nine hundred ten thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 316 336 384 448 474 512 553 632 672 768 896 948 1106 1264 1344 1536 1659 1792 1896 2212 2528 2688 3318 3584 3792 4424 5056 5376 6636 7584 8848 10112 10752 13272 15168 17696 20224 24391 26544 30336 35392 40448 48782 53088 60672 70784 73173 97564 106176 121344 141568 146346 170737 195128 212352 283136 292692 341474 390256 424704 512211 585384 682948 780512 849408 1024422 1170768 1365896 1561024 1926889 2048844 2341536 2731792 3122048 3853778 4097688 4683072 5463584 5780667 6244096 7707556 8195376 9366144 10927168 11561334 12488192 13488223 15415112 16390752 18732288 21854336 23122668 26976446 30830224 32781504 37464576 40464669 43708672 46245336 53952892 61660448 65563008 80929338 87417344 92490672 107905784 123320896 131126016 161858676 184981344 215811568 246641792 262252032 323717352 369962688 431623136 493283584 647434704 739925376 863246272 986567168 1294869408 1479850752 1726492544 2589738816 2959701504 3452985088 5179477632 6905970176 10358955264 20717910528