Search a number
-
+
23659705530 = 2345434797149
BaseRepresentation
bin10110000010001110…
…100111010010111010
32021001212220120110000
4112002032213102322
5341423341034110
614511421333430
71465211115216
oct260216472272
967055816400
1023659705530
11a041317a4a
124703707276
132300960976
141206377946
159371c31c0
hex5823a74ba

23659705530 has 320 divisors, whose sum is σ = 67619059200. Its totient is φ = 5929168896.

The previous prime is 23659705529. The next prime is 23659705547. The reversal of 23659705530 is 3550795632.

It is a happy number.

23659705530 is a `hidden beast` number, since 2 + 3 + 6 + 5 + 97 + 0 + 553 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 158789896 + ... + 158790044.

It is an arithmetic number, because the mean of its divisors is an integer number (211309560).

Almost surely, 223659705530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23659705530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33809529600).

23659705530 is an abundant number, since it is smaller than the sum of its proper divisors (43959353670).

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

23659705530 is a wasteful number, since it uses less digits than its factorization.

23659705530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 23659705530 in words is "twenty-three billion, six hundred fifty-nine million, seven hundred five thousand, five hundred thirty".