Search a number
-
+
23035673809824 = 25313178947925469
BaseRepresentation
bin1010011110011011010010…
…01001111001001110100000
310000120012002201022002100120
411033031221021321032200
511004404024443403244
6120554235323120240
74565162320453314
oct517155111711640
9100505081262316
1023035673809824
117381413366075
122700574673080
13cb1340806b40
14598d0ad3bb44
1529e3263a7819
hex14f3692793a0

23035673809824 has 384 divisors, whose sum is σ = 69873705216000. Its totient is φ = 6581980889088.

The previous prime is 23035673809781. The next prime is 23035673809847. The reversal of 23035673809824 is 42890837653032.

It is a super-2 number, since 2×230356738098242 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904446562 + ... + 904472030.

It is an arithmetic number, because the mean of its divisors is an integer number (181962774000).

Almost surely, 223035673809824 is an apocalyptic number.

23035673809824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23035673809824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34936852608000).

23035673809824 is an abundant number, since it is smaller than the sum of its proper divisors (46838031406176).

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

23035673809824 is a wasteful number, since it uses less digits than its factorization.

23035673809824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26080 (or 26072 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 23035673809824 in words is "twenty-three trillion, thirty-five billion, six hundred seventy-three million, eight hundred nine thousand, eight hundred twenty-four".