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23286840480 = 25325149108533
BaseRepresentation
bin10101101100000000…
…001111110010100000
32020002220022001202100
4111230000033302200
5340142412343410
614410421450400
71453032610131
oct255400176240
966086261670
1023286840480
11996a8a5a12
12461a870a00
132271630267
1411aca37c88
159145be8c0
hex56c00fca0

23286840480 has 144 divisors (see below), whose sum is σ = 80000411400. Its totient is φ = 6168090624.

The previous prime is 23286840457. The next prime is 23286840539. The reversal of 23286840480 is 8404868232.

23286840480 is a `hidden beast` number, since 232 + 8 + 6 + 8 + 404 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6543515664 + 16743324816 = 80892^2 + 129396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 160294 + ... + 268826.

Almost surely, 223286840480 is an apocalyptic number.

23286840480 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 23286840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40000205700).

23286840480 is an abundant number, since it is smaller than the sum of its proper divisors (56713570920).

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

23286840480 is a wasteful number, since it uses less digits than its factorization.

23286840480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108703 (or 108692 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 23286840480 in words is "twenty-three billion, two hundred eighty-six million, eight hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 149 160 180 240 288 298 360 447 480 596 720 745 894 1192 1341 1440 1490 1788 2235 2384 2682 2980 3576 4470 4768 5364 5960 6705 7152 8940 10728 11920 13410 14304 17880 21456 23840 26820 35760 42912 53640 71520 107280 108533 214560 217066 325599 434132 542665 651198 868264 976797 1085330 1302396 1627995 1736528 1953594 2170660 2604792 3255990 3473056 3907188 4341320 4883985 5209584 6511980 7814376 8682640 9767970 10419168 13023960 15628752 16171417 17365280 19535940 26047920 31257504 32342834 39071880 48514251 52095840 64685668 78143760 80857085 97028502 129371336 145542753 156287520 161714170 194057004 242571255 258742672 291085506 323428340 388114008 485142510 517485344 582171012 646856680 727713765 776228016 970285020 1164342024 1293713360 1455427530 1552456032 1940570040 2328684048 2587426720 2910855060 3881140080 4657368096 5821710120 7762280160 11643420240 23286840480