Search a number
-
+
23334774736 = 2471317979719
BaseRepresentation
bin10101101110110111…
…000110011111010000
32020020020111101012011
4111232313012133100
5340242200242421
614415253112304
71454154212140
oct255667063720
966206441164
1023334774736
1199949656a9
124632928694
13227b544320
1411b5154920
159188dc4e1
hex56edc67d0

23334774736 has 160 divisors (see below), whose sum is σ = 59531189760. Its totient is φ = 8597864448.

The previous prime is 23334774713. The next prime is 23334774737. The reversal of 23334774736 is 63747743332.

It is a self number, because there is not a number n which added to its sum of digits gives 23334774736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23334774737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2396085 + ... + 2405803.

It is an arithmetic number, because the mean of its divisors is an integer number (372069936).

Almost surely, 223334774736 is an apocalyptic number.

23334774736 is a gapful number since it is divisible by the number (26) 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 23334774736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29765594880).

23334774736 is an abundant number, since it is smaller than the sum of its proper divisors (36196415024).

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

23334774736 is a wasteful number, since it uses less digits than its factorization.

23334774736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9861 (or 9855 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 49.

The spelling of 23334774736 in words is "twenty-three billion, three hundred thirty-four million, seven hundred seventy-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 97 104 112 119 136 182 194 208 221 238 272 364 388 442 476 679 728 776 884 952 1261 1358 1456 1547 1552 1649 1768 1904 2522 2716 3094 3298 3536 5044 5432 6188 6596 8827 9719 10088 10864 11543 12376 13192 17654 19438 20176 21437 23086 24752 26384 35308 38876 42874 46172 68033 70616 77752 85748 92344 126347 136066 141232 150059 155504 165223 171496 184688 252694 272132 300118 330446 342992 505388 544264 600236 660892 884429 942743 1010776 1088528 1156561 1200472 1321784 1768858 1885486 2021552 2147899 2313122 2400944 2643568 3537716 3770972 4295798 4626244 6599201 7075432 7541944 8591596 9252488 12255659 13198402 14150864 15035293 15083888 16026631 17183192 18504976 24511318 26396804 30070586 32053262 34366384 49022636 52793608 60141172 64106524 85789613 98045272 105587216 112186417 120282344 128213048 171579226 196090544 208346203 224372834 240564688 256426096 343158452 416692406 448745668 686316904 833384812 897491336 1372633808 1458423421 1666769624 1794982672 2916846842 3333539248 5833693684 11667387368 23334774736