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20426588562402 = 23311373792452271
BaseRepresentation
bin1001010010011111011111…
…00011100010001111100010
32200022202121002002210102000
410221033233203202033202
510134132123132444102
6111235502323304430
74205525622666351
oct451175743421742
980282532083360
1020426588562402
11656595a7a5950
12235a98721b116
13b522b02b8329
1450891b761998
15256520b4201c
hex1293ef8e23e2

20426588562402 has 128 divisors (see below), whose sum is σ = 50991563059200. Its totient is φ = 6006688228800.

The previous prime is 20426588562323. The next prime is 20426588562463.

20426588562402 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 6 + 5 + 8 + 8 + 5 + 624 + 0 + 2 = 666.

20426588562402 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7103527 + ... + 9555797.

It is an arithmetic number, because the mean of its divisors is an integer number (398371586400).

Almost surely, 220426588562402 is an apocalyptic number.

20426588562402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20426588562402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25495781529600).

20426588562402 is an abundant number, since it is smaller than the sum of its proper divisors (30564974496798).

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

20426588562402 is a wasteful number, since it uses less digits than its factorization.

20426588562402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452709 (or 2452703 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 20426588562402 in words is "twenty trillion, four hundred twenty-six billion, five hundred eighty-eight million, five hundred sixty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 379 407 594 666 758 814 999 1137 1221 1998 2274 2442 3411 3663 4169 6822 7326 8338 10233 10989 12507 14023 20466 21978 25014 28046 37521 42069 75042 84138 112563 126207 154253 225126 252414 308506 378621 462759 757242 925518 1388277 2452271 2776554 4164831 4904542 7356813 8329662 14713626 22070439 26974981 44140878 53949962 66211317 80924943 90734027 132422634 161849886 181468054 242774829 272202081 485549658 544404162 728324487 816606243 929410709 998074297 1456648974 1633212486 1858821418 1996148594 2449818729 2788232127 2994222891 4899637458 5576464254 5988445782 8364696381 8982668673 10223517799 16729392762 17965337346 20447035598 25094089143 26948006019 30670553397 34388196233 50188178286 53896012038 61341106794 68776392466 92011660191 103164588699 184023320382 206329177398 276034980573 309493766097 378270158563 552069961146 618987532194 756540317126 928481298291 1134810475689 1856962596582 2269620951378 3404431427067 6808862854134 10213294281201 20426588562402