Search a number
-
+
171355473006 = 23293494616121
BaseRepresentation
bin1001111110010110010…
…1010000010001101110
3121101022001112221112020
42133211211100101232
510301414000114011
6210415234251010
715244230326334
oct2374545202156
9541261487466
10171355473006
11667427740a3
1229262726a66
131320aa15613
148417ab7b54
1546cd847006
hex27e595046e

171355473006 has 64 divisors (see below), whose sum is σ = 356373864000. Its totient is φ = 54862617600.

The previous prime is 171355472989. The next prime is 171355473017. The reversal of 171355473006 is 600374553171.

171355473006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 27991626 + ... + 27997746.

It is an arithmetic number, because the mean of its divisors is an integer number (5568341625).

Almost surely, 2171355473006 is an apocalyptic number.

171355473006 is an abundant number, since it is smaller than the sum of its proper divisors (185018390994).

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

171355473006 is a wasteful number, since it uses less digits than its factorization.

171355473006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965.

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 171355473006 in words is "one hundred seventy-one billion, three hundred fifty-five million, four hundred seventy-three thousand, six".

Divisors: 1 2 3 6 29 58 87 174 349 461 698 922 1047 1383 2094 2766 6121 10121 12242 13369 18363 20242 26738 30363 36726 40107 60726 80214 160889 177509 321778 355018 482667 532527 965334 1065054 2136229 2821781 4272458 4665781 5643562 6408687 8465343 9331562 12817374 13997343 16930686 27994686 61950641 81831649 123901282 163663298 185851923 245494947 371703846 490989894 984801569 1969603138 2954404707 5908809414 28559245501 57118491002 85677736503 171355473006