Search a number
-
+
10001556162 = 2341314931873
BaseRepresentation
bin10010101000010001…
…11010001011000010
3221211000200200210000
421110020322023002
5130440344244122
64332240020430
7502563552603
oct112410721302
927730620700
1010001556162
1142726881a4
121b31601716
13c35113890
146ac449daa
153d80b90ac
hex25423a2c2

10001556162 has 80 divisors (see below), whose sum is σ = 24297550200. Its totient is φ = 3056652288.

The previous prime is 10001556151. The next prime is 10001556193. The reversal of 10001556162 is 26165510001.

It is a happy number.

10001556162 is a `hidden beast` number, since 100 + 0 + 1 + 556 + 1 + 6 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3339568521 + 6661987641 = 57789^2 + 81621^2 .

It is a super-2 number, since 2×100015561622 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297858 + ... + 329730.

Almost surely, 210001556162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001556162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12148775100).

10001556162 is an abundant number, since it is smaller than the sum of its proper divisors (14295994038).

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

10001556162 is a wasteful number, since it uses less digits than its factorization.

10001556162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32049 (or 32040 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10001556162 in words is "ten billion, one million, five hundred fifty-six thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 149 162 234 298 351 447 702 894 1053 1341 1937 2106 2682 3874 4023 5811 8046 11622 12069 17433 24138 31873 34866 52299 63746 95619 104598 156897 191238 286857 313794 414349 573714 828698 860571 1243047 1721142 2486094 2581713 3729141 4749077 5163426 7458282 9498154 11187423 14247231 22374846 28494462 33562269 42741693 61738001 67124538 85483386 123476002 128225079 185214003 256450158 370428006 384675237 555642009 769350474 1111284018 1666926027 3333852054 5000778081 10001556162