Base | Representation |
---|---|
bin | 10101100101111110… |
… | …110000000000000000 |
3 | 2012211212010220110120 |
4 | 111211332300000000 |
5 | 334441030103312 |
6 | 14352411500240 |
7 | 1450364630220 |
oct | 254576600000 |
9 | 65755126416 |
10 | 23185784832 |
11 | 9918853351 |
12 | 45b0a57680 |
13 | 225670a112 |
14 | 119d450080 |
15 | 90a7ac28c |
hex | 565fb0000 |
23185784832 has 272 divisors, whose sum is σ = 74892920832. Its totient is φ = 6228541440.
The previous prime is 23185784819. The next prime is 23185784887. The reversal of 23185784832 is 23848758132.
It is a tau number, because it is divible by the number of its divisors (272).
It is a Harshad number since it is a multiple of its sum of digits (51).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23395857 + ... + 23396847.
Almost surely, 223185784832 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 23185784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37446460416).
23185784832 is an abundant number, since it is smaller than the sum of its proper divisors (51707136000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23185784832 is an frugal number, since it uses more digits than its factorization.
23185784832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1050 (or 1020 counting only the distinct ones).
The product of its digits is 2580480, while the sum is 51.
The spelling of 23185784832 in words is "twenty-three billion, one hundred eighty-five million, seven hundred eighty-four thousand, eight hundred thirty-two".
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