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136051743343656 = 23375347189323801
BaseRepresentation
bin11110111011110100000011…
…110101010100010000101000
3122211201102022220210001012110
4132323310003311110100220
5120313032432243444111
61201205150312242320
740441262013323160
oct3673640365242050
9584642286701173
10136051743343656
113a39424728a608
12133138a56a03a0
135abb8168c899a
142584d220475a0
1510ae040e8c5a6
hex7bbd03d54428

136051743343656 has 128 divisors (see below), whose sum is σ = 396063208569600. Its totient is φ = 38137568102400.

The previous prime is 136051743343639. The next prime is 136051743343657. The reversal of 136051743343656 is 656343347150631.

It is a junction number, because it is equal to n+sod(n) for n = 136051743343596 and 136051743343605.

It is not an unprimeable number, because it can be changed into a prime (136051743343657) 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 31 ways as a sum of consecutive naturals, for example, 420008956 + ... + 420332756.

It is an arithmetic number, because the mean of its divisors is an integer number (3094243816950).

Almost surely, 2136051743343656 is an apocalyptic number.

It is an amenable number.

136051743343656 is an abundant number, since it is smaller than the sum of its proper divisors (260011465225944).

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

136051743343656 is a wasteful number, since it uses less digits than its factorization.

136051743343656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371059 (or 371055 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 57.

The spelling of 136051743343656 in words is "one hundred thirty-six trillion, fifty-one billion, seven hundred forty-three million, three hundred forty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 8904 47189 94378 141567 188756 283134 323801 330323 377512 566268 647602 660646 971403 990969 1132536 1295204 1321292 1942806 1981938 2266607 2501017 2590408 2642584 3885612 3963876 4533214 5002034 6799821 7503051 7771224 7927752 9066428 10004068 13599642 15006102 17161453 17507119 18132856 20008136 27199284 30012204 34322906 35014238 51484359 52521357 54398568 60024408 68645812 70028476 102968718 105042714 120130171 137291624 140056952 205937436 210085428 240260342 360390513 411874872 420170856 480520684 720781026 961041368 1441562052 2883124104 15279845389 30559690778 45839536167 61119381556 91679072334 106958917723 122238763112 183358144668 213917835446 320876753169 366716289336 427835670892 641753506338 809831805617 855671341784 1283507012676 1619663611234 2429495416851 2567014025352 3239327222468 4858990833702 5668822639319 6478654444936 9717981667404 11337645278638 17006467917957 19435963334808 22675290557276 34012935835914 45350581114552 68025871671828 136051743343656