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23218400872387 = 7217711036937861
BaseRepresentation
bin1010100011101111101001…
…00010010100011111000011
310001012122202021111122011101
411101313310202110133003
511020402241110404022
6121214215222155231
74614321422042200
oct521676442243703
9101178667448141
1023218400872387
117441960a98766
12272ba6b582b17
13cc564141ba76
145a3ac2db2ca7
152a3e6d1de627
hex151df48947c3

23218400872387 has 48 divisors (see below), whose sum is σ = 29004285055680. Its totient is φ = 18464727859200.

The previous prime is 23218400872333. The next prime is 23218400872399. The reversal of 23218400872387 is 78327800481232.

It is a de Polignac number, because none of the positive numbers 2k-23218400872387 is a prime.

It is a super-3 number, since 3×232184008723873 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (23218400872307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613234837 + ... + 613272697.

It is an arithmetic number, because the mean of its divisors is an integer number (604255938660).

Almost surely, 223218400872387 is an apocalyptic number.

23218400872387 is a deficient number, since it is larger than the sum of its proper divisors (5785884183293).

23218400872387 is a wasteful number, since it uses less digits than its factorization.

23218400872387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48332 (or 48325 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 55.

The spelling of 23218400872387 in words is "twenty-three trillion, two hundred eighteen billion, four hundred million, eight hundred seventy-two thousand, three hundred eighty-seven".

Divisors: 1 7 17 49 71 119 497 833 1207 3479 8449 10369 37861 59143 72583 176273 265027 508081 643637 736199 1233911 1855189 2688131 4505459 5153393 8637377 12515383 18816917 31538213 36073751 45698227 87607681 131718419 319887589 392580709 613253767 2239213123 2748064963 6673872053 19236454741 27873230339 46717104371 195112612373 327019730597 473844915763 1365788286611 3316914410341 23218400872387