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20644566176 = 2513372295857
BaseRepresentation
bin10011001110100000…
…110001010010100000
31222021202101121211002
4103032200301102200
5314240002104201
613252312411132
71330406626403
oct231640612240
958252347732
1020644566176
118834357143
1240019a6aa8
131c400a8540
14ddbb4dd3a
1580c63d76b
hex4ce8314a0

20644566176 has 96 divisors (see below), whose sum is σ = 45157447440. Its totient is φ = 9228681216.

The previous prime is 20644566133. The next prime is 20644566191. The reversal of 20644566176 is 67166544602.

It can be written as a sum of positive squares in 8 ways, for example, as 19677356176 + 967210000 = 140276^2 + 31100^2 .

It is a super-2 number, since 2×206445661762 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20644566176.

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 15 ways as a sum of consecutive naturals, for example, 3521840 + ... + 3527696.

Almost surely, 220644566176 is an apocalyptic number.

20644566176 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 20644566176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22578723720).

20644566176 is an abundant number, since it is smaller than the sum of its proper divisors (24512881264).

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

20644566176 is a wasteful number, since it uses less digits than its factorization.

20644566176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 20644566176 in words is "twenty billion, six hundred forty-four million, five hundred sixty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 148 208 229 296 416 458 481 592 916 962 1184 1832 1924 2977 3664 3848 5857 5954 7328 7696 8473 11714 11908 15392 16946 23428 23816 33892 46856 47632 67784 76141 93712 95264 110149 135568 152282 187424 216709 220298 271136 304564 433418 440596 609128 866836 881192 1218256 1341253 1733672 1762384 2436512 2682506 2817217 3467344 3524768 5365012 5634434 6934688 10730024 11268868 17436289 21460048 22537736 34872578 42920096 45075472 49626361 69745156 90150944 99252722 139490312 198505444 278980624 397010888 557961248 645142693 794021776 1290285386 1588043552 2580570772 5161141544 10322283088 20644566176