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23015014880 = 2551113277377
BaseRepresentation
bin10101011011110011…
…010100000111100000
32012101221210220010112
4111123303110013200
5334113320434010
614323431350452
71443222253514
oct253363240740
965357726115
1023015014880
119840415360
124563822428
13222a218500
1411848ba144
158ea7c8a05
hex55bcd41e0

23015014880 has 144 divisors (see below), whose sum is σ = 64230549264. Its totient is φ = 7725219840.

The previous prime is 23015014861. The next prime is 23015014889. The reversal of 23015014880 is 8841051032.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23015014889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258752 + ... + 336128.

It is an arithmetic number, because the mean of its divisors is an integer number (446045481).

Almost surely, 223015014880 is an apocalyptic number.

23015014880 is a gapful number since it is divisible by the number (20) 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 23015014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32115274632).

23015014880 is an abundant number, since it is smaller than the sum of its proper divisors (41215534384).

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

23015014880 is a wasteful number, since it uses less digits than its factorization.

23015014880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77429 (or 77408 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 23015014880 in words is "twenty-three billion, fifteen million, fourteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 169 176 208 220 260 286 338 352 416 440 520 572 676 715 845 880 1040 1144 1352 1430 1690 1760 1859 2080 2288 2704 2860 3380 3718 4576 5408 5720 6760 7436 9295 11440 13520 14872 18590 22880 27040 29744 37180 59488 74360 77377 148720 154754 297440 309508 386885 619016 773770 851147 1005901 1238032 1547540 1702294 2011802 2476064 3095080 3404588 4023604 4255735 5029505 6190160 6809176 8047208 8511470 10059010 11064911 12380320 13076713 13618352 16094416 17022940 20118020 22129822 26153426 27236704 32188832 34045880 40236040 44259644 52306852 55324555 65383565 68091760 80472080 88519288 104613704 110649110 130767130 136183520 143843843 160944160 177038576 209227408 221298220 261534260 287687686 354077152 418454816 442596440 523068520 575375372 719219215 885192880 1046137040 1150750744 1438438430 1770385760 2092274080 2301501488 2876876860 4603002976 5753753720 11507507440 23015014880