Search a number
-
+
171145070382 = 2311133125725037
BaseRepresentation
bin1001111101100100001…
…0101000011100101110
3121100202101122101101110
42133121002220130232
510301001114223012
6210342320452450
715236064044526
oct2373102503456
9540671571343
10171145070382
1166644a26530
122920417a126
13131a6258420
1483d7b88686
1546ba13573c
hex27d90a872e

171145070382 has 128 divisors (see below), whose sum is σ = 416734875648. Its totient is φ = 46146355200.

The previous prime is 171145070357. The next prime is 171145070429. The reversal of 171145070382 is 283070541171.

It is a happy number.

171145070382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 171145070382.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6823168 + ... + 6848204.

It is an arithmetic number, because the mean of its divisors is an integer number (3255741216).

Almost surely, 2171145070382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171145070382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208367437824).

171145070382 is an abundant number, since it is smaller than the sum of its proper divisors (245589805266).

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

171145070382 is a wasteful number, since it uses less digits than its factorization.

171145070382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25354.

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 171145070382 in words is "one hundred seventy-one billion, one hundred forty-five million, seventy thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 257 286 341 403 429 514 682 771 806 858 1023 1209 1542 2046 2418 2827 3341 4433 5654 6682 7967 8481 8866 10023 13299 15934 16962 20046 23901 25037 26598 36751 47802 50074 73502 75111 87637 103571 110253 150222 175274 207142 220506 262911 275407 310713 325481 525822 550814 621426 650962 776147 826221 976443 1139281 1552294 1652442 1952886 2278562 2328441 3417843 3580291 4656882 6434509 6835686 7160582 8537617 10089911 10740873 12869018 17075234 19303527 20179822 21481746 25612851 30269733 38607054 51225702 60539466 70779599 83648617 110989021 141559198 167297234 199469779 212338797 221978042 250945851 332967063 398939558 424677594 501891702 598409337 665934126 920134787 1196818674 1840269574 2194167569 2593107127 2760404361 4388335138 5186214254 5520808722 6582502707 7779321381 13165005414 15558642762 28524178397 57048356794 85572535191 171145070382