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117786134844672 = 283737592151981
BaseRepresentation
bin11010110010000000111000…
…101110100001010100000000
3120110001020121020220122000120
4122302000320232201110000
5110414302001010012142
61054302111531220240
733544524136642530
oct3262007056412400
9513036536818016
10117786134844672
1134591901494878
12112638aa2a7680
13509525318b218
142112c44cc74c0
15d93d4ad597ec
hex6b2038ba1500

117786134844672 has 144 divisors (see below), whose sum is σ = 367949029967232. Its totient is φ = 32743635886080.

The previous prime is 117786134844659. The next prime is 117786134844673. The reversal of 117786134844672 is 276448431687711.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 117786134844597 and 117786134844606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117786134844673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 295877079 + ... + 296274902.

Almost surely, 2117786134844672 is an apocalyptic number.

117786134844672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117786134844672 is an abundant number, since it is smaller than the sum of its proper divisors (250162895122560).

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

117786134844672 is an equidigital number, since it uses as much as digits as its factorization.

117786134844672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592152044 (or 592152030 counting only the distinct ones).

The product of its digits is 303464448, while the sum is 69.

The spelling of 117786134844672 in words is "one hundred seventeen trillion, seven hundred eighty-six billion, one hundred thirty-four million, eight hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 518 592 672 768 777 888 896 1036 1184 1344 1554 1776 1792 2072 2368 2688 3108 3552 4144 4736 5376 6216 7104 8288 9472 12432 14208 16576 24864 28416 33152 49728 66304 99456 198912 592151981 1184303962 1776455943 2368607924 3552911886 4145063867 4737215848 7105823772 8290127734 9474431696 12435191601 14211647544 16580255468 18948863392 21909623297 24870383202 28423295088 33160510936 37897726784 43819246594 49740766404 56846590176 65728869891 66321021872 75795453568 87638493188 99481532808 113693180352 131457739782 132642043744 151590907136 153367363079 175276986376 198963065616 227386360704 262915479564 265284087488 306734726158 350553972752 397926131232 454772721408 460102089237 525830959128 530568174976 613469452316 701107945504 795852262464 920204178474 1051661918256 1061136349952 1226938904632 1402215891008 1591704524928 1840408356948 2103323836512 2453877809264 2804431782016 3183409049856 3680816713896 4206647673024 4907755618528 5608863564032 7361633427792 8413295346048 9815511237056 14723266855584 16826590692096 19631022474112 29446533711168 39262044948224 58893067422336 117786134844672