Search a number
-
+
23388515904 = 2631322214219
BaseRepresentation
bin10101110010000100…
…000110111001000000
32020100222121201012210
4111302010012321000
5340344430002104
614424453022120
71455406051005
oct256204067100
966328551183
1023388515904
119a12231196
124648924940
13228970c530
1411bc3438ac
1591d4a5989
hex572106e40

23388515904 has 112 divisors (see below), whose sum is σ = 66688086080. Its totient is φ = 7191521280.

The previous prime is 23388515869. The next prime is 23388515957. The reversal of 23388515904 is 40951588332.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5541507 + ... + 5545725.

It is an arithmetic number, because the mean of its divisors is an integer number (595429340).

Almost surely, 223388515904 is an apocalyptic number.

23388515904 is a gapful number since it is divisible by the number (24) 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 23388515904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33344043040).

23388515904 is an abundant number, since it is smaller than the sum of its proper divisors (43299570176).

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

23388515904 is a wasteful number, since it uses less digits than its factorization.

23388515904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 23388515904 in words is "twenty-three billion, three hundred eighty-eight million, five hundred fifteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2221 2496 4219 4442 6663 8438 8884 12657 13326 16876 17768 25314 26652 28873 33752 35536 50628 53304 54847 57746 67504 71072 86619 101256 106608 109694 115492 135008 142144 164541 173238 202512 213216 219388 230984 270016 329082 346476 405024 426432 438776 461968 658164 692952 810048 877552 923936 1316328 1385904 1755104 1847872 2632656 2771808 3510208 5265312 5543616 9370399 10530624 18740798 28111197 37481596 56222394 74963192 112444788 121815187 149926384 224889576 243630374 299852768 365445561 449779152 487260748 599705536 730891122 899558304 974521496 1461782244 1799116608 1949042992 2923564488 3898085984 5847128976 7796171968 11694257952 23388515904