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20946390534 = 23741271431
BaseRepresentation
bin10011100000100000…
…001000111000000110
32000001210022220000000
4103200200020320012
5320344233444114
613342253502130
71341033244656
oct234040107006
960053286000
1020946390534
118979767263
124086aa1946
131c8a794834
141029c7a366
15828dace09
hex4e0808e06

20946390534 has 128 divisors (see below), whose sum is σ = 48562053120. Its totient is φ = 6770952000.

The previous prime is 20946390503. The next prime is 20946390547. The reversal of 20946390534 is 43509364902.

20946390534 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 639 + 0 + 5 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20946390534.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48599299 + ... + 48599729.

It is an arithmetic number, because the mean of its divisors is an integer number (379391040).

Almost surely, 220946390534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20946390534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24281026560).

20946390534 is an abundant number, since it is smaller than the sum of its proper divisors (27615662586).

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

20946390534 is an equidigital number, since it uses as much as digits as its factorization.

20946390534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 20946390534 in words is "twenty billion, nine hundred forty-six million, three hundred ninety thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 271 369 431 486 542 729 738 813 862 1107 1293 1458 1626 2187 2214 2439 2586 3321 3879 4374 4878 6642 7317 7758 9963 11111 11637 14634 17671 19926 21951 22222 23274 29889 33333 34911 35342 43902 53013 59778 65853 66666 69822 89667 99999 104733 106026 116801 131706 159039 179334 197559 199998 209466 233602 299997 314199 318078 350403 395118 477117 592677 599994 628398 700806 899991 942597 954234 1051209 1185354 1431351 1799982 1885194 2102418 2699973 2862702 3153627 4294053 4788841 5399946 6307254 8099919 8588106 9460881 9577682 12882159 14366523 16199838 18921762 24299757 25764318 28382643 28733046 38646477 43099569 48599514 56765286 77292954 85147929 86199138 129298707 170295858 255443787 258597414 387896121 510887574 775792242 1163688363 2327376726 3491065089 6982130178 10473195267 20946390534