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20662688176 = 24131943121591
BaseRepresentation
bin10011001111100101…
…111001100110110000
31222100000111022112021
4103033211321212300
5314304122010201
613254201041224
71331016644254
oct231745714660
958300438467
1020662688176
1188436044a9
124007a86214
131c43a81c10
14100030a264
1580e01cea1
hex4cf9799b0

20662688176 has 80 divisors (see below), whose sum is σ = 46438416640. Its totient is φ = 8824515840.

The previous prime is 20662688153. The next prime is 20662688183. The reversal of 20662688176 is 67188626602.

It is a super-2 number, since 2×206626881762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 109141 + ... + 230731.

It is an arithmetic number, because the mean of its divisors is an integer number (580480208).

Almost surely, 220662688176 is an apocalyptic number.

20662688176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20662688176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23219208320).

20662688176 is an abundant number, since it is smaller than the sum of its proper divisors (25775728464).

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

20662688176 is a wasteful number, since it uses less digits than its factorization.

20662688176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121674 (or 121668 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 20662688176 in words is "twenty billion, six hundred sixty-two million, six hundred eighty-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 19 26 38 43 52 76 86 104 152 172 208 247 304 344 494 559 688 817 988 1118 1634 1976 2236 3268 3952 4472 6536 8944 10621 13072 21242 42484 84968 121591 169936 243182 486364 972728 1580683 1945456 2310229 3161366 4620458 5228413 6322732 9240916 10456826 12645464 18481832 20913652 25290928 30032977 36963664 41827304 60065954 67969369 83654608 99339847 120131908 135938738 198679694 240263816 271877476 397359388 480527632 543754952 794718776 1087509904 1291418011 1589437552 2582836022 5165672044 10331344088 20662688176