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20414497260640 = 2557145312544549
BaseRepresentation
bin1001010010001000111101…
…10110111000010001100000
32200021121101102012000120211
410221010132312320101200
510133432342244320030
6111230142432543504
74204620162425620
oct451043666702140
980247342160524
1020414497260640
11656081555397a
1223585719b1b94
13b511042671c2
145080d1978880
1525606438912a
hex12911edb8460

20414497260640 has 96 divisors (see below), whose sum is σ = 55157081716800. Its totient is φ = 6994438539264.

The previous prime is 20414497260611. The next prime is 20414497260671. The reversal of 20414497260640 is 4606279441402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4644915 + ... + 7899634.

It is an arithmetic number, because the mean of its divisors is an integer number (574552934550).

Almost surely, 220414497260640 is an apocalyptic number.

20414497260640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414497260640 is an abundant number, since it is smaller than the sum of its proper divisors (34742584456160).

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

20414497260640 is a wasteful number, since it uses less digits than its factorization.

20414497260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546024 (or 12546016 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 20414497260640 in words is "twenty trillion, four hundred fourteen billion, four hundred ninety-seven million, two hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1453 2906 5812 7265 10171 11624 14530 20342 23248 29060 40684 46496 50855 58120 81368 101710 116240 162736 203420 232480 325472 406840 813680 1627360 12544549 25089098 50178196 62722745 87811843 100356392 125445490 175623686 200712784 250890980 351247372 401425568 439059215 501781960 702494744 878118430 1003563920 1404989488 1756236860 2007127840 2809978976 3512473720 7024947440 14049894880 18227229697 36454459394 72908918788 91136148485 127590607879 145817837576 182272296970 255181215758 291635675152 364544593940 510362431516 583271350304 637953039395 729089187880 1020724863032 1275906078790 1458178375760 2041449726064 2551812157580 2916356751520 4082899452128 5103624315160 10207248630320 20414497260640