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20694824946 = 234409547571
BaseRepresentation
bin10011010001100000…
…011111011111110010
31222102020222000220000
4103101200133133302
5314340333344241
613301305530430
71331560052415
oct232140373762
958366860800
1020694824946
11885a764314
1240167a3a16
131c4a624663
1410046b3b7c
15811c69eb6
hex4d181f7f2

20694824946 has 80 divisors (see below), whose sum is σ = 46651656480. Its totient is φ = 6856799040.

The previous prime is 20694824939. The next prime is 20694825037. The reversal of 20694824946 is 64942849602.

20694824946 is a `hidden beast` number, since 20 + 69 + 482 + 49 + 46 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20694824892 and 20694824901.

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 39 ways as a sum of consecutive naturals, for example, 36242841 + ... + 36243411.

It is an arithmetic number, because the mean of its divisors is an integer number (583145706).

Almost surely, 220694824946 is an apocalyptic number.

20694824946 is an abundant number, since it is smaller than the sum of its proper divisors (25956831534).

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

20694824946 is a wasteful number, since it uses less digits than its factorization.

20694824946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 20694824946 in words is "twenty billion, six hundred ninety-four million, eight hundred twenty-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 409 547 571 818 1094 1142 1227 1641 1713 2454 3282 3426 3681 4923 5139 7362 9846 10278 11043 14769 15417 22086 29538 30834 33129 44307 46251 66258 88614 92502 223723 233539 312337 447446 467078 624674 671169 700617 937011 1342338 1401234 1874022 2013507 2101851 2811033 4027014 4203702 5622066 6040521 6305553 8433099 12081042 12611106 16866198 18121563 18916659 25299297 36243126 37833318 50598594 127745833 255491666 383237499 766474998 1149712497 2299424994 3449137491 6898274982 10347412473 20694824946