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4361644656 = 243237859953
BaseRepresentation
bin1000000111111100…
…10110101001110000
3102020222012111122200
410003332112221300
532413040112111
62000445103200
7213041240115
oct40376265160
912228174580
104361644656
111939042206
12a18857b00
13546823c35
142d53b290c
151a7dae256
hex103f96a70

4361644656 has 120 divisors (see below), whose sum is σ = 12564218160. Its totient is φ = 1411458048.

The previous prime is 4361644643. The next prime is 4361644663. The reversal of 4361644656 is 6564461634.

4361644656 is a `hidden beast` number, since 436 + 164 + 4 + 6 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4576276 + ... + 4577228.

It is an arithmetic number, because the mean of its divisors is an integer number (104701818).

Almost surely, 24361644656 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 4361644656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282109080).

4361644656 is an abundant number, since it is smaller than the sum of its proper divisors (8202573504).

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

4361644656 is a wasteful number, since it uses less digits than its factorization.

4361644656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1854 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 4361644656 is about 66042.7487011254. The cubic root of 4361644656 is about 1633.8672219792.

The spelling of 4361644656 in words is "four billion, three hundred sixty-one million, six hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 859 888 953 1332 1718 1776 1906 2577 2664 2859 3436 3812 5154 5328 5718 6872 7624 7731 8577 10308 11436 13744 15248 15462 17154 20616 22872 30924 31783 34308 35261 41232 45744 61848 63566 68616 70522 95349 105783 123696 127132 137232 141044 190698 211566 254264 282088 286047 317349 381396 423132 508528 564176 572094 634698 762792 818627 846264 1144188 1269396 1525584 1637254 1692528 2288376 2455881 2538792 3274508 4576752 4911762 5077584 6549016 7367643 9823524 13098032 14735286 19647048 29470572 30289199 39294096 58941144 60578398 90867597 117882288 121156796 181735194 242313592 272602791 363470388 484627184 545205582 726940776 1090411164 1453881552 2180822328 4361644656