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20542324440 = 23351115562367
BaseRepresentation
bin10011001000011010…
…101111111011011000
31222000122000012112010
4103020122233323120
5314032313340230
613234221145520
71325025606501
oct231032577330
958018005463
1020542324440
118791674440
123b936bb2a0
131c24b5b581
14dcc337ba8
158036949b0
hex4c86afed8

20542324440 has 64 divisors (see below), whose sum is σ = 67229429760. Its totient is φ = 4979957120.

The previous prime is 20542324433. The next prime is 20542324457. The reversal of 20542324440 is 4442324502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20542324398 and 20542324407.

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, 7779864 + ... + 7782503.

It is an arithmetic number, because the mean of its divisors is an integer number (1050459840).

Almost surely, 220542324440 is an apocalyptic number.

20542324440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20542324440 is an abundant number, since it is smaller than the sum of its proper divisors (46687105320).

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

20542324440 is a wasteful number, since it uses less digits than its factorization.

20542324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15562392 (or 15562388 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 20542324440 its reverse (4442324502), we get a palindrome (24984648942).

The spelling of 20542324440 in words is "twenty billion, five hundred forty-two million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 15562367 31124734 46687101 62249468 77811835 93374202 124498936 155623670 171186037 186748404 233435505 311247340 342372074 373496808 466871010 513558111 622494680 684744148 855930185 933742020 1027116222 1369488296 1711860370 1867484040 2054232444 2567790555 3423720740 4108464888 5135581110 6847441480 10271162220 20542324440