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5644656456 = 23353113173227
BaseRepresentation
bin1010100000111001…
…01001111101001000
3112120101102020222020
411100130221331020
543030013001311
62332040324440
7256610534235
oct52034517510
915511366866
105644656456
112437296a3a
121116473720
136bc59160a
143b795078c
15230845c06
hex150729f48

5644656456 has 128 divisors (see below), whose sum is σ = 14653249920. Its totient is φ = 1811124224.

The previous prime is 5644656449. The next prime is 5644656463. The reversal of 5644656456 is 6546564465.

It is an interprime number because it is at equal distance from previous prime (5644656449) and next prime (5644656463).

It is a junction number, because it is equal to n+sod(n) for n = 5644656399 and 5644656408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24866215 + ... + 24866441.

It is an arithmetic number, because the mean of its divisors is an integer number (114478515).

Almost surely, 25644656456 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 5644656456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326624960).

5644656456 is an abundant number, since it is smaller than the sum of its proper divisors (9008593464).

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

5644656456 is a wasteful number, since it uses less digits than its factorization.

5644656456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 571 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 51.

The square root of 5644656456 is about 75130.9287577360. The cubic root of 5644656456 is about 1780.5158266013.

The spelling of 5644656456 in words is "five billion, six hundred forty-four million, six hundred fifty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 53 106 113 159 173 212 226 227 318 339 346 424 452 454 519 636 678 681 692 904 908 1038 1272 1356 1362 1384 1816 2076 2712 2724 4152 5448 5989 9169 11978 12031 17967 18338 19549 23956 24062 25651 27507 35934 36093 36676 39098 39271 47912 48124 51302 55014 58647 71868 72186 73352 76953 78196 78542 96248 102604 110028 117294 117813 143736 144372 153906 156392 157084 205208 220056 234588 235626 288744 307812 314168 469176 471252 615624 942504 1036097 1359503 2072194 2081363 2719006 3108291 4078509 4144388 4162726 4437623 5438012 6216582 6244089 8157018 8288776 8325452 8875246 10876024 12433164 12488178 13312869 16314036 16650904 17750492 24866328 24976356 26625738 32628072 35500984 49952712 53251476 106502952 235194019 470388038 705582057 940776076 1411164114 1881552152 2822328228 5644656456