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182270313992 = 231321726832
BaseRepresentation
bin1010100111000000101…
…0000100011000001000
3122102110201202022120002
42221300022010120020
510441242200021432
6215422301222132
716111554051224
oct2516012043010
9572421668502
10182270313992
1170333927738
122b3a9b61948
131425a0c4600
148b7153b784
154b1bbb3e62
hex2a70284608

182270313992 has 108 divisors (see below), whose sum is σ = 393693694695. Its totient is φ = 79060320768.

The previous prime is 182270313971. The next prime is 182270314001. The reversal of 182270313992 is 299313072281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 73893723556 + 108376590436 = 271834^2 + 329206^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=301886.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 266866883 + ... + 266867565.

Almost surely, 2182270313992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182270313992

182270313992 is an abundant number, since it is smaller than the sum of its proper divisors (211423380703).

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

182270313992 is an equidigital number, since it uses as much as digits as its factorization.

182270313992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 182270313992 in words is "one hundred eighty-two billion, two hundred seventy million, three hundred thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 289 338 442 578 676 683 884 1156 1352 1366 1768 2312 2732 2873 3757 5464 5746 7514 8879 11492 11611 15028 17758 22984 23222 30056 35516 46444 48841 71032 92888 97682 115427 150943 195364 197387 230854 301886 390728 394774 461708 466489 603772 789548 923416 932978 1207544 1579096 1865956 1962259 2566031 3731912 3924518 5132062 6064357 7849036 7930313 10264124 12128714 15698072 15860626 20528248 24257428 31721252 33358403 48514856 63442504 66716806 78836641 103094069 133433612 134815321 157673282 206188138 266867224 269630642 315346564 412376276 539261284 630693128 824752552 1078522568 1340222897 1752599173 2680445794 3505198346 5360891588 7010396692 10721783176 14020793384 22783789249 45567578498 91135156996 182270313992