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23884466116 = 2274192832
BaseRepresentation
bin10110001111101000…
…000000011111000100
32021122112211121000011
4112033220000133010
5342403410403431
614550011000004
71503610420000
oct261750003704
967575747004
1023884466116
11a1471819a5
124766a39004
1323383a71b4
141228163700
1594bcbdcb1
hex58fa007c4

23884466116 has 135 divisors (see below), whose sum is σ = 52090171791. Its totient is φ = 9580615632.

The previous prime is 23884466093. The next prime is 23884466129. The reversal of 23884466116 is 61166448832.

The square root of 23884466116 is 154546.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 23884466116.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 287764611 + ... + 287764693.

Almost surely, 223884466116 is an apocalyptic number.

23884466116 is the 154546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23884466116

23884466116 is an abundant number, since it is smaller than the sum of its proper divisors (28205705675).

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

23884466116 is an frugal number, since it uses more digits than its factorization.

23884466116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 111 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

Multiplying 23884466116 by its sum of digits (49), we get a square (1170338839684 = 10818222).

23884466116 divided by its sum of digits (49) gives a square (487438084 = 220782).

It can be divided in two parts, 23884 and 466116, that added together give a square (490000 = 7002).

The spelling of 23884466116 in words is "twenty-three billion, eight hundred eighty-four million, four hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 49 76 83 98 133 166 196 266 332 343 361 532 581 686 722 931 1162 1372 1444 1577 1862 2324 2401 2527 3154 3724 4067 4802 5054 6308 6517 6889 8134 9604 10108 11039 13034 13778 16268 17689 22078 26068 27556 28469 29963 35378 44156 45619 48223 56938 59926 70756 77273 91238 96446 113876 119852 123823 130891 154546 182476 192892 199283 209741 247646 261782 309092 337561 398566 419482 495292 523564 540911 675122 797132 838964 866761 916237 1081822 1350244 1468187 1733522 1832474 2163644 2362927 2486929 2936374 3467044 3664948 3786377 4725854 4973858 5872748 6413659 7572754 9451708 9947716 10277309 12827318 15145508 16540489 17408503 20554618 25654636 33080978 34817006 41109236 44895613 66161956 69634012 71941163 89791226 121859521 143882326 179582452 243719042 287764652 314269291 487438084 628538582 853016647 1257077164 1706033294 3412066588 5971116529 11942233058 23884466116