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178313390164 = 227133153298157
BaseRepresentation
bin1010011000010001001…
…1100110100001010100
3122001020222002202111201
42212010103212201110
510410141211441124
6213525510442244
715611525544160
oct2460423464124
9561228082451
10178313390164
1169693295258
122a684963384
1313a793a5970
1488b7bdbca0
1549895ec144
hex29844e6854

178313390164 has 96 divisors (see below), whose sum is σ = 403930146816. Its totient is φ = 66977763840.

The previous prime is 178313390113. The next prime is 178313390183. The reversal of 178313390164 is 461093313871.

It is a super-2 number, since 2×1783133901642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448974 + ... + 747130.

It is an arithmetic number, because the mean of its divisors is an integer number (4207605696).

Almost surely, 2178313390164 is an apocalyptic number.

178313390164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 178313390164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201965073408).

178313390164 is an abundant number, since it is smaller than the sum of its proper divisors (225616756652).

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

178313390164 is a wasteful number, since it uses less digits than its factorization.

178313390164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298265 (or 298263 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 178313390164 in words is "one hundred seventy-eight billion, three hundred thirteen million, three hundred ninety thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 53 62 91 106 124 182 212 217 364 371 403 434 689 742 806 868 1378 1484 1612 1643 2756 2821 3286 4823 5642 6572 9646 11284 11501 19292 21359 23002 42718 46004 85436 149513 298157 299026 596314 598052 1192628 2087099 3876041 4174198 7752082 8348396 9242867 15504164 15802321 18485734 27132287 31604642 36971468 54264574 63209284 64700069 108529148 110616247 120157271 129400138 205430173 221232494 240314542 258800276 410860346 442464988 480629084 489871951 821720692 841100897 979743902 1438011211 1682201794 1959487804 2876022422 3364403588 3429103657 5752044844 6368335363 6858207314 12736670726 13716414628 25473341452 44578347541 89156695082 178313390164