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23314761148 = 22721910758511
BaseRepresentation
bin10101101101101010…
…110000010110111100
32020011211211120201011
4111231222300112330
5340222034324043
614413300125004
71453522125400
oct255552602674
966154746634
1023314761148
119984636148
124628096764
132277357973
1411b2625100
15916c8759d
hex56dab05bc

23314761148 has 72 divisors (see below), whose sum is σ = 50427982080. Its totient is φ = 9377514720.

The previous prime is 23314761131. The next prime is 23314761191. The reversal of 23314761148 is 84116741332.

It is a self number, because there is not a number n which added to its sum of digits gives 23314761148.

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 23 ways as a sum of consecutive naturals, for example, 369213 + ... + 427723.

It is an arithmetic number, because the mean of its divisors is an integer number (700388640).

Almost surely, 223314761148 is an apocalyptic number.

23314761148 is a gapful number since it is divisible by the number (28) 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 23314761148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25213991040).

23314761148 is an abundant number, since it is smaller than the sum of its proper divisors (27113220932).

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

23314761148 is a wasteful number, since it uses less digits than its factorization.

23314761148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58655 (or 58646 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The spelling of 23314761148 in words is "twenty-three billion, three hundred fourteen million, seven hundred sixty-one thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 107 133 196 214 266 428 532 749 931 1498 1862 2033 2996 3724 4066 5243 8132 10486 14231 20972 28462 56924 58511 99617 117022 199234 234044 398468 409577 819154 1111709 1638308 2223418 2867039 4446836 5734078 6260677 7781963 11468156 12521354 15563926 25042708 31127852 43824739 54473741 87649478 108947482 118952863 175298956 217894964 237905726 306773173 475811452 613546346 832670041 1227092692 1665340082 3330680164 5828690287 11657380574 23314761148