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23864036240 = 2451124675279
BaseRepresentation
bin10110001110011010…
…000100101110010000
32021121010101122111002
4112032122010232100
5342333143124430
614544001041132
71503241650452
oct261632045620
967533348432
1023864036240
11a136698700
1247600261a8
1323340a3205
1412255662d2
1594a0d5845
hex58e684b90

23864036240 has 120 divisors (see below), whose sum is σ = 61128587520. Its totient is φ = 8657608960.

The previous prime is 23864036237. The next prime is 23864036257. The reversal of 23864036240 is 4263046832.

It is a junction number, because it is equal to n+sod(n) for n = 23864036194 and 23864036203.

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, 4517921 + ... + 4523199.

It is an arithmetic number, because the mean of its divisors is an integer number (509404896).

Almost surely, 223864036240 is an apocalyptic number.

23864036240 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 23864036240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564293760).

23864036240 is an abundant number, since it is smaller than the sum of its proper divisors (37264551280).

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

23864036240 is a wasteful number, since it uses less digits than its factorization.

23864036240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 23864036240 in words is "twenty-three billion, eight hundred sixty-four million, thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 467 484 605 880 934 968 1210 1868 1936 2335 2420 3736 4670 4840 5137 5279 7472 9340 9680 10274 10558 18680 20548 21116 25685 26395 37360 41096 42232 51370 52790 56507 58069 82192 84464 102740 105580 113014 116138 205480 211160 226028 232276 282535 290345 410960 422320 452056 464552 565070 580690 638759 904112 929104 1130140 1161380 1277518 2260280 2322760 2465293 2555036 3193795 4520560 4645520 4930586 5110072 6387590 9861172 10220144 12326465 12775180 19722344 24652930 25550360 27118223 39444688 49305860 51100720 54236446 98611720 108472892 135591115 197223440 216945784 271182230 298300453 433891568 542364460 596600906 1084728920 1193201812 1491502265 2169457840 2386403624 2983004530 4772807248 5966009060 11932018120 23864036240