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74468307689568 = 2534132210004383
BaseRepresentation
bin10000111011101010000001…
…000001101110000001100000
3100202200002201101212000010000
4100323222001001232001200
534230042043232031233
6422214133540340000
721454105041232152
oct2073520101560140
9322602641760100
1074468307689568
11218009173402a1
1284285596a4600
13327243caa18a0
1414563dccdaad2
15892159124d13
hex43ba8106e060

74468307689568 has 120 divisors (see below), whose sum is σ = 235856087869248. Its totient is φ = 22913325432576.

The previous prime is 74468307689551. The next prime is 74468307689593. The reversal of 74468307689568 is 86598670386447.

74468307689568 is a `hidden beast` number, since 7 + 4 + 46 + 8 + 3 + 0 + 7 + 6 + 8 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1104968496 + ... + 1105035887.

Almost surely, 274468307689568 is an apocalyptic number.

74468307689568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

74468307689568 is an abundant number, since it is smaller than the sum of its proper divisors (161387780179680).

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

74468307689568 is a wasteful number, since it uses less digits than its factorization.

74468307689568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210004418 (or 2210004401 counting only the distinct ones).

The product of its (nonzero) digits is 11705057280, while the sum is 81.

The spelling of 74468307689568 in words is "seventy-four trillion, four hundred sixty-eight billion, three hundred seven million, six hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 2210004383 4420008766 6630013149 8840017532 13260026298 17680035064 19890039447 26520052596 28730056979 35360070128 39780078894 53040105192 57460113958 59670118341 70720140256 79560157788 86190170937 106080210384 114920227916 119340236682 159120315576 172380341874 179010355023 212160420768 229840455832 238680473364 258570512811 318240631152 344760683748 358020710046 459680911664 477360946728 517141025622 636481262304 689521367496 716041420092 775711538433 919361823328 954721893456 1034282051244 1379042734992 1432082840184 1551423076866 1909443786912 2068564102488 2327134615299 2758085469984 2864165680368 3102846153732 4137128204976 4654269230598 5728331360736 6205692307464 8274256409952 9308538461196 12411384614928 18617076922392 24822769229856 37234153844784 74468307689568