Search a number
-
+
23136007968 = 253473122273
BaseRepresentation
bin10101100011000000…
…110111011100100000
32012201101110222110000
4111203000313130200
5334340304223333
614343432540000
71446221552163
oct254300673440
965641428400
1023136007968
1198a2745247
124598251600
1322492cc458
1411969b3ada
15906228713
hex563037720

23136007968 has 120 divisors (see below), whose sum is σ = 68975007948. Its totient is φ = 7606296576.

The previous prime is 23136007967. The next prime is 23136007969. The reversal of 23136007968 is 86970063132.

23136007968 is a `hidden beast` number, since 2 + 31 + 3 + 600 + 7 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (23136007967) and next prime (23136007969).

It can be written as a sum of positive squares in 2 ways, for example, as 21924132624 + 1211875344 = 148068^2 + 34812^2 .

It is not an unprimeable number, because it can be changed into a prime (23136007967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128080 + ... + 250352.

Almost surely, 223136007968 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 23136007968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34487503974).

23136007968 is an abundant number, since it is smaller than the sum of its proper divisors (45838999980).

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

23136007968 is a wasteful number, since it uses less digits than its factorization.

23136007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122368 (or 122351 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 23136007968 in words is "twenty-three billion, one hundred thirty-six million, seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 288 292 324 432 438 584 648 657 864 876 1168 1296 1314 1752 1971 2336 2592 2628 3504 3942 5256 5913 7008 7884 10512 11826 15768 21024 23652 31536 47304 63072 94608 122273 189216 244546 366819 489092 733638 978184 1100457 1467276 1956368 2200914 2934552 3301371 3912736 4401828 5869104 6602742 8803656 8925929 9904113 11738208 13205484 17607312 17851858 19808226 26410968 26777787 35214624 35703716 39616452 52821936 53555574 71407432 79232904 80333361 105643872 107111148 142814864 158465808 160666722 214222296 241000083 285629728 316931616 321333444 428444592 482000166 642666888 723000249 856889184 964000332 1285333776 1446000498 1928000664 2570667552 2892000996 3856001328 5784001992 7712002656 11568003984 23136007968