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23285042032 = 2471913978721
BaseRepresentation
bin10101101011111001…
…011000101101110000
32020002202220200202011
4111223321120231300
5340141432321112
614410315132304
71453011406630
oct255371305560
966082820664
1023285042032
11996988779a
12461a144094
1322711507a5
1411ac6ca6c0
15914366aa7
hex56be58b70

23285042032 has 80 divisors (see below), whose sum is σ = 54664556800. Its totient is φ = 9385943040.

The previous prime is 23285042023. The next prime is 23285042093. The reversal of 23285042032 is 23024058232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23285041985 and 23285042003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256432 + ... + 335152.

It is an arithmetic number, because the mean of its divisors is an integer number (683306960).

Almost surely, 223285042032 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 23285042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27332278400).

23285042032 is an abundant number, since it is smaller than the sum of its proper divisors (31379514768).

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

23285042032 is a wasteful number, since it uses less digits than its factorization.

23285042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78894 (or 78888 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 23285042032 in words is "twenty-three billion, two hundred eighty-five million, forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 139 152 266 278 304 532 556 973 1064 1112 1946 2128 2224 2641 3892 5282 7784 10564 15568 18487 21128 36974 42256 73948 78721 147896 157442 295792 314884 551047 629768 1102094 1259536 1495699 2204188 2991398 4408376 5982796 8816752 10469893 10942219 11965592 20939786 21884438 23931184 41879572 43768876 76595533 83759144 87537752 153191066 167518288 175075504 207902161 306382132 415804322 612764264 831608644 1225528528 1455315127 1663217288 2910630254 3326434576 5821260508 11642521016 23285042032