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20693320452 = 2234788310333
BaseRepresentation
bin10011010001011010…
…110000001100000100
31222102011010121010000
4103101122300030010
5314334442223302
613301213401300
71331541215220
oct232132601404
958364117100
1020693320452
118859926a32
124016199230
131c4a21891c
141004401780
15811a6e31c
hex4d16b0304

20693320452 has 120 divisors (see below), whose sum is σ = 61900494656. Its totient is φ = 5905109952.

The previous prime is 20693320441. The next prime is 20693320511. The reversal of 20693320452 is 25402339602.

It is a happy number.

20693320452 is a `hidden beast` number, since 206 + 93 + 320 + 45 + 2 = 666.

It is a super-2 number, since 2×206933204522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1997478 + ... + 2007810.

Almost surely, 220693320452 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 20693320452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30950247328).

20693320452 is an abundant number, since it is smaller than the sum of its proper divisors (41207174204).

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

20693320452 is a wasteful number, since it uses less digits than its factorization.

20693320452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11239 (or 11228 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 20693320452 in words is "twenty billion, six hundred ninety-three million, three hundred twenty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 883 1134 1766 2268 2649 3532 5298 6181 7947 10333 10596 12362 15894 18543 20666 23841 24724 30999 31788 37086 41332 47682 55629 61998 71523 72331 74172 92997 95364 111258 123996 143046 144662 166887 185994 216993 222516 278991 286092 289324 333774 371988 433986 500661 557982 650979 667548 836973 867972 1001322 1115964 1301958 1673946 1952937 2002644 2603916 3347892 3905874 5858811 7811748 9124039 11717622 18248078 23435244 27372117 36496156 54744234 63868273 82116351 109488468 127736546 164232702 191604819 246349053 255473092 328465404 383209638 492698106 574814457 739047159 766419276 985396212 1149628914 1478094318 1724443371 2299257828 2956188636 3448886742 5173330113 6897773484 10346660226 20693320452