Search a number
-
+
3865961963472 = 243721986510069
BaseRepresentation
bin111000010000011101010…
…010100001111111010000
3111200120201112110221112220
4320100131102201333100
51001314442230312342
612115555353421040
7546210066332400
oct70203522417720
914616645427486
103865961963472
1112605aa819974
125252baa0a780
1322073547559b
14d518385c800
156a8688ab5ec
hex3841d4a1fd0

3865961963472 has 120 divisors (see below), whose sum is σ = 12229063495200. Its totient is φ = 1046425782528.

The previous prime is 3865961963447. The next prime is 3865961963483. The reversal of 3865961963472 is 2743691695683.

It is a super-3 number, since 3×38659619634723 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3865961963397 and 3865961963406.

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, 43210347 + ... + 43299722.

It is an arithmetic number, because the mean of its divisors is an integer number (101908862460).

Almost surely, 23865961963472 is an apocalyptic number.

It is an amenable number.

3865961963472 is an abundant number, since it is smaller than the sum of its proper divisors (8363101531728).

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

3865961963472 is a wasteful number, since it uses less digits than its factorization.

3865961963472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86510113 (or 86510100 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 69.

The spelling of 3865961963472 in words is "three trillion, eight hundred sixty-five billion, nine hundred sixty-one million, nine hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 6384 7448 11172 14896 22344 44688 86510069 173020138 259530207 346040276 519060414 605570483 692080552 1038120828 1211140966 1384161104 1643691311 1816711449 2076241656 2422281932 3287382622 3633422898 4152483312 4238993381 4844563864 4931073933 6574765244 7266845796 8477986762 9689127728 9862147866 11505839177 12716980143 13149530488 14533691592 16955973524 19724295732 23011678354 25433960286 26299060976 29067383184 33911947048 34517517531 39448591464 46023356708 50867920572 67823894096 69035035062 78897182928 80540874239 92046713416 101735841144 138070070124 161081748478 184093426832 203471682288 241622622717 276140140248 322163496956 483245245434 552280280496 644326993912 966490490868 1288653987824 1932980981736 3865961963472