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23128189992 = 23323737922907
BaseRepresentation
bin10101100010100011…
…000010110000101000
32012200211202210012100
4111202203002300220
5334331304034432
614342553213400
71446065241225
oct254243026050
965624683170
1023128189992
119899295506
124595701260
1322477c2b2b
14119593a94c
159056d207c
hex5628c2c28

23128189992 has 96 divisors (see below), whose sum is σ = 64504346400. Its totient is φ = 7480916352.

The previous prime is 23128189957. The next prime is 23128190011. The reversal of 23128189992 is 29998182132.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1119744) is a multiple of the sum of its prime divisors (23328).

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 23 ways as a sum of consecutive naturals, for example, 998203 + ... + 1021109.

It is an arithmetic number, because the mean of its divisors is an integer number (671920275).

Almost surely, 223128189992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23128189992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32252173200).

23128189992 is an abundant number, since it is smaller than the sum of its proper divisors (41376156408).

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

23128189992 is a wasteful number, since it uses less digits than its factorization.

23128189992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23335 (or 23328 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 23128189992 in words is "twenty-three billion, one hundred twenty-eight million, one hundred eighty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 379 444 666 758 888 1137 1332 1516 2274 2664 3032 3411 4548 6822 9096 13644 14023 22907 27288 28046 42069 45814 56092 68721 84138 91628 112184 126207 137442 168276 183256 206163 252414 274884 336552 412326 504828 549768 824652 847559 1009656 1649304 1695118 2542677 3390236 5085354 6780472 7628031 8681753 10170708 15256062 17363506 20341416 26045259 30512124 34727012 52090518 61024248 69454024 78135777 104181036 156271554 208362072 312543108 321224861 625086216 642449722 963674583 1284899444 1927349166 2569798888 2891023749 3854698332 5782047498 7709396664 11564094996 23128189992