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20789423496 = 23331912739887
BaseRepresentation
bin10011010111001001…
…010110110110001000
31222122211222010201000
4103113021112312020
5320034043022441
613314525255000
71334116120062
oct232711266610
958584863630
1020789423496
1188a90a6636
124042404460
131c640c672a
14101309a732
1581a2042b6
hex4d7256d88

20789423496 has 128 divisors (see below), whose sum is σ = 61267968000. Its totient is φ = 6513224256.

The previous prime is 20789423419. The next prime is 20789423497. The reversal of 20789423496 is 69432498702.

20789423496 is a `hidden beast` number, since 207 + 8 + 9 + 423 + 4 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20789423497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501265 + ... + 541151.

It is an arithmetic number, because the mean of its divisors is an integer number (478656000).

Almost surely, 220789423496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20789423496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30633984000).

20789423496 is an abundant number, since it is smaller than the sum of its proper divisors (40478544504).

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

20789423496 is a wasteful number, since it uses less digits than its factorization.

20789423496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40048 (or 40038 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 20789423496 in words is "twenty billion, seven hundred eighty-nine million, four hundred twenty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 127 152 171 216 228 254 342 381 456 508 513 684 762 1016 1026 1143 1368 1524 2052 2286 2413 3048 3429 4104 4572 4826 6858 7239 9144 9652 13716 14478 19304 21717 27432 28956 39887 43434 57912 65151 79774 86868 119661 130302 159548 173736 239322 260604 319096 358983 478644 521208 717966 757853 957288 1076949 1435932 1515706 2153898 2273559 2871864 3031412 4307796 4547118 5065649 6062824 6820677 8615592 9094236 10131298 13641354 15196947 18188472 20262596 20462031 27282708 30393894 40525192 40924062 45590841 54565416 60787788 81848124 91181682 96247331 121575576 136772523 163696248 182363364 192494662 273545046 288741993 364726728 384989324 547090092 577483986 769978648 866225979 1094180184 1154967972 1732451958 2309935944 2598677937 3464903916 5197355874 6929807832 10394711748 20789423496