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40847644674804 = 223111931352034951
BaseRepresentation
bin10010100100110100101010…
…10110011100101011110100
312100121222220120221000011110
421102122111112130223310
520323221434014043204
6222513052055235020
711414100466643142
oct1122322526345364
9170558816830143
1040847644674804
1112019430583170
1246b8669678a70
1319a3bbb33a7b6
14a13072420592
154ac81ac04889
hex25269559caf4

40847644674804 has 96 divisors (see below), whose sum is σ = 109797911516160. Its totient is φ = 11689131168000.

The previous prime is 40847644674779. The next prime is 40847644674833.

40847644674804 is nontrivially palindromic in base 10.

40847644674804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25232472 + ... + 26802479.

It is an arithmetic number, because the mean of its divisors is an integer number (1143728244960).

Almost surely, 240847644674804 is an apocalyptic number.

40847644674804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40847644674804 is an abundant number, since it is smaller than the sum of its proper divisors (68950266841356).

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

40847644674804 is a wasteful number, since it uses less digits than its factorization.

40847644674804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52035301 (or 52035299 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 66.

The spelling of 40847644674804 in words is "forty trillion, eight hundred forty-seven billion, six hundred forty-four million, six hundred seventy-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 313 418 626 627 836 939 1252 1254 1878 2508 3443 3756 5947 6886 10329 11894 13772 17841 20658 23788 35682 41316 65417 71364 130834 196251 261668 392502 785004 52034951 104069902 156104853 208139804 312209706 572384461 624419412 988664069 1144768922 1717153383 1977328138 2289537844 2965992207 3434306766 3954656276 5931984414 6868613532 10875304759 11863968828 16286939663 21750609518 32573879326 32625914277 43501219036 48860818989 65147758652 65251828554 97721637978 130503657108 179156336293 195443275956 309451853597 358312672586 537469008879 618903707194 716625345172 928355560791 1074938017758 1237807414388 1856711121582 2149876035516 3403970389567 3713422243164 6807940779134 10211911168701 13615881558268 20423822337402 40847644674804