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20057662455450 = 2352672524379063
BaseRepresentation
bin1001000111110000010011…
…10110000111111010011010
32122000111022222112202002220
410203320021312013322122
510112111043042033300
6110354210220404510
74140055400554614
oct443701166077232
978014288482086
1020057662455450
1164334526102a4
1222bb3866a6736
13b26577681a69
144d4b204abdb4
1524bb2c29cda0
hex123e09d87e9a

20057662455450 has 96 divisors (see below), whose sum is σ = 50488074318336. Its totient is φ = 5268603130560.

The previous prime is 20057662455431. The next prime is 20057662455469. The reversal of 20057662455450 is 5455426675002.

It is an interprime number because it is at equal distance from previous prime (20057662455431) and next prime (20057662455469).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20057662455393 and 20057662455402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253652619 + ... + 253731681.

It is an arithmetic number, because the mean of its divisors is an integer number (525917440816).

Almost surely, 220057662455450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20057662455450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25244037159168).

20057662455450 is an abundant number, since it is smaller than the sum of its proper divisors (30430411862886).

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

20057662455450 is a wasteful number, since it uses less digits than its factorization.

20057662455450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104388 (or 104383 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 51.

The spelling of 20057662455450 in words is "twenty trillion, fifty-seven billion, six hundred sixty-two million, four hundred fifty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 1005 1675 2010 3350 5025 10050 25243 50486 75729 79063 126215 151458 158126 237189 252430 378645 395315 474378 631075 757290 790630 1185945 1262150 1691281 1893225 1976575 2371890 3382562 3786450 3953150 5073843 5297221 5929725 8456405 10147686 10594442 11859450 15891663 16912810 25369215 26486105 31783326 42282025 50738430 52972210 79458315 84564050 126846075 132430525 158916630 253692150 264861050 397291575 794583150 1995787309 3991574618 5987361927 9978936545 11974723854 19957873090 29936809635 49894682725 59873619270 99789365450 133717749703 149684048175 267435499406 299368096350 401153249109 668588748515 802306498218 1337177497030 2005766245545 3342943742575 4011532491090 6685887485150 10028831227725 20057662455450