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134736843322880 = 295317166030219
BaseRepresentation
bin11110101000101011011101…
…101011110011011000000000
3122200001201100021102002222222
4132220223131223303120000
5120130012023342313010
61154321130141350212
740244262403466621
oct3650533553633000
9580051307362888
10134736843322880
1139a27635523267
1213140aa0268368
135a248258bc706
14253b425a61a48
151089c33e01355
hex7a8addaf3600

134736843322880 has 80 divisors (see below), whose sum is σ = 324071729934480. Its totient is φ = 53724722061312.

The previous prime is 134736843322877. The next prime is 134736843322897. The reversal of 134736843322880 is 88223348637431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1347368433228802 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82203590 + ... + 83826629.

It is an arithmetic number, because the mean of its divisors is an integer number (4050896624181).

Almost surely, 2134736843322880 is an apocalyptic number.

134736843322880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134736843322880 is an abundant number, since it is smaller than the sum of its proper divisors (189334886611600).

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

134736843322880 is an equidigital number, since it uses as much as digits as its factorization.

134736843322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166030559 (or 166030543 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 62.

The spelling of 134736843322880 in words is "one hundred thirty-four trillion, seven hundred thirty-six billion, eight hundred forty-three million, three hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 317 320 512 634 640 1268 1280 1585 2536 2560 3170 5072 6340 10144 12680 20288 25360 40576 50720 81152 101440 162304 202880 405760 811520 166030219 332060438 664120876 830151095 1328241752 1660302190 2656483504 3320604380 5312967008 6641208760 10625934016 13282417520 21251868032 26564835040 42503736064 52631579423 53129670080 85007472128 105263158846 106259340160 210526317692 212518680320 263157897115 421052635384 425037360640 526315794230 842105270768 1052631588460 1684210541536 2105263176920 3368421083072 4210526353840 6736842166144 8421052707680 13473684332288 16842105415360 26947368664576 33684210830720 67368421661440 134736843322880