Search a number
-
+
10162015411428 = 22342922311034397
BaseRepresentation
bin1001001111100000011101…
…0100011001110011100100
31022222110221022210220120000
42103320013110121303210
52312443301421131203
633340210533341300
72066116133540466
oct223700724316344
938873838726500
1010162015411428
11326876085a661
121181572497830
13589373b0718a
14271bb6590136
1512950d7d94a3
hex93e07519ce4

10162015411428 has 240 divisors, whose sum is σ = 27636114401280. Its totient is φ = 3252175992576.

The previous prime is 10162015411421. The next prime is 10162015411433. The reversal of 10162015411428 is 82411451026101.

10162015411428 is a `hidden beast` number, since 1 + 0 + 1 + 620 + 1 + 5 + 4 + 1 + 1 + 4 + 28 = 666.

It is a super-2 number, since 2×101620154114282 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10162015411392 and 10162015411401.

It is not an unprimeable number, because it can be changed into a prime (10162015411421) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2311122526 + ... + 2311126922.

It is an arithmetic number, because the mean of its divisors is an integer number (115150476672).

Almost surely, 210162015411428 is an apocalyptic number.

10162015411428 is a gapful number since it is divisible by the number (18) 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 10162015411428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818057200640).

10162015411428 is an abundant number, since it is smaller than the sum of its proper divisors (17474098989852).

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

10162015411428 is a wasteful number, since it uses less digits than its factorization.

10162015411428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Adding to 10162015411428 its reverse (82411451026101), we get a palindrome (92573466437529).

The spelling of 10162015411428 in words is "ten trillion, one hundred sixty-two billion, fifteen million, four hundred eleven thousand, four hundred twenty-eight".