Search a number
-
+
856922341401 = 327217225932
BaseRepresentation
bin11000111100001001000…
…11010100000000011001
310000220212101120021211100
430132010203110000121
5103014434104411101
61453355323422013
7115624222502100
oct14360443240031
93026771507740
10856922341401
1130046735a355
1211a0b1684909
1362a65c018a9
142d692199037
1517455760e86
hexc7848d4019

856922341401 has 81 divisors (see below), whose sum is σ = 1530132841341. Its totient is φ = 460688062464.

The previous prime is 856922341399. The next prime is 856922341411. The reversal of 856922341401 is 104143229658.

The square root of 856922341401 is 925701.

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

856922341401 is a `hidden beast` number, since 8 + 5 + 6 + 9 + 2 + 234 + 1 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129995581401 + 726926760000 = 360549^2 + 852600^2 .

It is not a de Polignac number, because 856922341401 - 21 = 856922341399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (856922341411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 330473961 + ... + 330476553.

Almost surely, 2856922341401 is an apocalyptic number.

856922341401 is the 925701-st square number.

856922341401 is the 462851-st centered octagonal number.

It is an amenable number.

856922341401 is a deficient number, since it is larger than the sum of its proper divisors (673210499940).

856922341401 is an equidigital number, since it uses as much as digits as its factorization.

856922341401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 856922341401 in words is "eight hundred fifty-six billion, nine hundred twenty-two million, three hundred forty-one thousand, four hundred one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 357 441 833 867 1071 2023 2499 2593 2601 6069 7497 7779 14161 18151 18207 23337 42483 44081 54453 127057 127449 132243 163359 308567 381171 396729 749377 925701 1143513 2159969 2248131 2777103 5245639 6479907 6723649 6744393 15736917 19439721 20170947 36719473 47065543 47210751 60512841 110158419 114302033 141196629 329458801 330475257 342906099 423589887 800114231 988376403 1028718297 1943134561 2400342693 2965129209 5600799617 5829403683 7201028079 13601941927 16802398851 17488211049 40805825781 50407196553 95213593489 122417477343 285640780467 856922341401