Search a number
-
+
23276590416 = 2432392941141
BaseRepresentation
bin10101101011011001…
…001001010101010000
32020002012000022022100
4111223121021111100
5340132301343131
614405414040400
71452546516432
oct255331112520
966065008270
1023276590416
119965034992
124617349100
13226c481931
1411ab52a652
159137477e6
hex56b649550

23276590416 has 60 divisors (see below), whose sum is σ = 65160288180. Its totient is φ = 7756700160.

The previous prime is 23276590333. The next prime is 23276590423. The reversal of 23276590416 is 61409567232.

23276590416 is a `hidden beast` number, since 23 + 27 + 6 + 590 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7874787600 + 15401802816 = 88740^2 + 124104^2 .

It is a super-3 number, since 3×232765904163 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545206 + ... + 586346.

It is an arithmetic number, because the mean of its divisors is an integer number (1086004803).

Almost surely, 223276590416 is an apocalyptic number.

It is an amenable number.

23276590416 is an abundant number, since it is smaller than the sum of its proper divisors (41883697764).

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

23276590416 is a wasteful number, since it uses less digits than its factorization.

23276590416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45084 (or 45075 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 23276590416 in words is "twenty-three billion, two hundred seventy-six million, five hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3929 7858 11787 15716 23574 31432 35361 41141 47148 62864 70722 82282 94296 123423 141444 164564 188592 246846 282888 329128 370269 493692 565776 658256 740538 987384 1481076 1974768 2962152 5924304 161642989 323285978 484928967 646571956 969857934 1293143912 1454786901 1939715868 2586287824 2909573802 3879431736 5819147604 7758863472 11638295208 23276590416