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20332144360 = 235114110111159
BaseRepresentation
bin10010111011111000…
…111110011011101000
31221110222111221122201
4102323320332123220
5313120012104420
613201312225544
71316564242543
oct227370763350
957428457581
1020332144360
118693a68aa0
123b3523b2b4
131bc044b768
14dac46585a
157deec910a
hex4bbe3e6e8

20332144360 has 128 divisors (see below), whose sum is σ = 51634195200. Its totient is φ = 7141120000.

The previous prime is 20332144351. The next prime is 20332144363. The reversal of 20332144360 is 6344123302.

It is not an unprimeable number, because it can be changed into a prime (20332144363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1816461 + ... + 1827619.

It is an arithmetic number, because the mean of its divisors is an integer number (403392150).

Almost surely, 220332144360 is an apocalyptic number.

20332144360 is a gapful number since it is divisible by the number (20) 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 20332144360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25817097600).

20332144360 is an abundant number, since it is smaller than the sum of its proper divisors (31302050840).

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

20332144360 is a wasteful number, since it uses less digits than its factorization.

20332144360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 20332144360 its reverse (6344123302), we get a palindrome (26676267662).

The spelling of 20332144360 in words is "twenty billion, three hundred thirty-two million, one hundred forty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 101 110 164 202 205 220 328 404 410 440 451 505 808 820 902 1010 1111 1640 1804 2020 2222 2255 3608 4040 4141 4444 4510 5555 8282 8888 9020 11110 11159 16564 18040 20705 22220 22318 33128 41410 44440 44636 45551 55795 82820 89272 91102 111590 122749 165640 182204 223180 227755 245498 364408 446360 455510 457519 490996 613745 911020 915038 981992 1127059 1227490 1822040 1830076 2254118 2287595 2454980 3660152 4508236 4575190 4909960 5032709 5635295 9016472 9150380 10065418 11270590 12397649 18300760 20130836 22541180 24795298 25163545 40261672 45082360 46209419 49590596 50327090 61988245 92418838 99181192 100654180 123976490 184837676 201308360 231047095 247952980 369675352 462094190 495905960 508303609 924188380 1016607218 1848376760 2033214436 2541518045 4066428872 5083036090 10166072180 20332144360