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23869087360 = 2753121972
BaseRepresentation
bin10110001110101101…
…010101111010000000
32021121110220021022121
4112032231111322000
5342340441243420
614544301214024
71503332615656
oct261655257200
967543807277
1023869087360
11a139528688
124761861314
132335151341
1412260bcdd6
1594a7822aa
hex58eb55e80

23869087360 has 144 divisors (see below), whose sum is σ = 59262945030. Its totient is φ = 9192744960.

The previous prime is 23869087357. The next prime is 23869087373. The reversal of 23869087360 is 6378096832.

It can be written as a sum of positive squares in 3 ways, for example, as 23111296576 + 757790784 = 152024^2 + 27528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23869087298 and 23869087307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 121162782 + ... + 121162978.

Almost surely, 223869087360 is an apocalyptic number.

23869087360 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 23869087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631472515).

23869087360 is an abundant number, since it is smaller than the sum of its proper divisors (35393857670).

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

23869087360 is an frugal number, since it uses more digits than its factorization.

23869087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 23869087360 in words is "twenty-three billion, eight hundred sixty-nine million, eighty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 197 248 310 320 394 496 620 640 788 961 985 992 1240 1576 1922 1970 1984 2480 3152 3844 3940 3968 4805 4960 6107 6304 7688 7880 9610 9920 12214 12608 15376 15760 19220 19840 24428 25216 30535 30752 31520 38440 38809 48856 61070 61504 63040 76880 77618 97712 122140 123008 126080 153760 155236 189317 194045 195424 244280 307520 310472 378634 388090 390848 488560 615040 620944 757268 776180 781696 946585 977120 1203079 1241888 1514536 1552360 1893170 1954240 2406158 2483776 3029072 3104720 3786340 3908480 4812316 4967552 6015395 6058144 6209440 7572680 9624632 12030790 12116288 12418880 15145360 19249264 24061580 24232576 24837760 30290720 37295449 38498528 48123160 60581440 74590898 76997056 96246320 121162880 149181796 153994112 186477245 192492640 298363592 372954490 384985280 596727184 745908980 769970560 1193454368 1491817960 2386908736 2983635920 4773817472 5967271840 11934543680 23869087360