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23443660560 = 2435661147779
BaseRepresentation
bin10101110101010110…
…011101111100010000
32020111211101100110110
4111311112131330100
5341003034114220
614434143001320
71456645553415
oct256526357420
966454340413
1023443660560
119a40376191
124663299240
132297c794c8
1411c57ba10c
15923249be0
hex57559df10

23443660560 has 80 divisors (see below), whose sum is σ = 72785787840. Its totient is φ = 6242142720.

The previous prime is 23443660553. The next prime is 23443660573. The reversal of 23443660560 is 6506634432.

It is a tau number, because it is divible by the number of its divisors (80).

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, 84751 + ... + 232529.

It is an arithmetic number, because the mean of its divisors is an integer number (909822348).

Almost surely, 223443660560 is an apocalyptic number.

23443660560 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 23443660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36392893920).

23443660560 is an abundant number, since it is smaller than the sum of its proper divisors (49342127280).

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

23443660560 is a wasteful number, since it uses less digits than its factorization.

23443660560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148456 (or 148450 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 23443660560 in words is "twenty-three billion, four hundred forty-three million, six hundred sixty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 661 1322 1983 2644 3305 3966 5288 6610 7932 9915 10576 13220 15864 19830 26440 31728 39660 52880 79320 147779 158640 295558 443337 591116 738895 886674 1182232 1477790 1773348 2216685 2364464 2955580 3546696 4433370 5911160 7093392 8866740 11822320 17733480 35466960 97681919 195363838 293045757 390727676 488409595 586091514 781455352 976819190 1172183028 1465228785 1562910704 1953638380 2344366056 2930457570 3907276760 4688732112 5860915140 7814553520 11721830280 23443660560