Search a number
-
+
23342483872 = 255352126417
BaseRepresentation
bin10101101111010100…
…100000100110100000
32020020210000001010201
4111233110200212200
5340301133440442
614420130234544
71454306560561
oct255724404640
966223001121
1023342483872
119999250694
124635425a54
132280013246
1411b61a0168
159194117b7
hex56f5209a0

23342483872 has 48 divisors (see below), whose sum is σ = 46914246792. Its totient is φ = 11428618240.

The previous prime is 23342483867. The next prime is 23342483887. The reversal of 23342483872 is 27838424332.

It can be written as a sum of positive squares in 4 ways, for example, as 16434214416 + 6908269456 = 128196^2 + 83116^2 .

It is a super-2 number, since 2×233424838722 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870408 + ... + 896824.

Almost surely, 223342483872 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 23342483872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23457123396).

23342483872 is an abundant number, since it is smaller than the sum of its proper divisors (23571762920).

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

23342483872 is a wasteful number, since it uses less digits than its factorization.

23342483872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27001 (or 26993 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 46.

The spelling of 23342483872 in words is "twenty-three billion, three hundred forty-two million, four hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 106 212 424 521 848 1042 1696 2084 4168 8336 16672 26417 27613 52834 55226 105668 110452 211336 220904 422672 441808 845344 883616 1400101 2800202 5600404 11200808 13763257 22401616 27526514 44803232 55053028 110106056 220212112 440424224 729452621 1458905242 2917810484 5835620968 11671241936 23342483872