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170006133124 = 221726721812
BaseRepresentation
bin1001111001010100100…
…1111011100110000100
3121020211000112101012001
42132111021323212010
510241133032224444
6210033313235044
715165624200662
oct2362511734604
9536730471161
10170006133124
1166110037073
1228b46862a84
13130542c3859
14832a7d1c32
15465015c8d4
hex279527b984

170006133124 has 81 divisors (see below), whose sum is σ = 322610568399. Its totient is φ = 78373405440.

The previous prime is 170006133083. The next prime is 170006133139. The reversal of 170006133124 is 421331600071.

The square root of 170006133124 is 412318.

It is a perfect power (a square), and thus also a powerful number.

170006133124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23953752900 + 146052380224 = 154770^2 + 382168^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 170006133092 and 170006133101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 939260314 + ... + 939260494.

Almost surely, 2170006133124 is an apocalyptic number.

170006133124 is the 412318-th square number.

It is an amenable number.

170006133124 is a deficient number, since it is larger than the sum of its proper divisors (152604435275).

170006133124 is an equidigital number, since it uses as much as digits as its factorization.

170006133124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 170006133124 its reverse (421331600071), we get a palindrome (591337733195).

The spelling of 170006133124 in words is "one hundred seventy billion, six million, one hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 17 34 67 68 134 181 268 289 362 578 724 1139 1156 2278 3077 4489 4556 6154 8978 12127 12308 17956 19363 24254 32761 38726 48508 52309 65522 76313 77452 104618 131044 152626 206159 209236 305252 412318 556937 812509 824636 1113874 1297321 1625018 2194987 2227748 2594642 3250036 3504703 4389974 5189284 7009406 8779948 9467929 13812653 14018812 18935858 27625306 37314779 37871716 55250612 74629558 147064129 149259116 234815101 294128258 469630202 588256516 634351243 939260404 1268702486 2500090193 2537404972 5000180386 10000360772 42501533281 85003066562 170006133124