Search a number
-
+
7226163142002 = 2347237119919609
BaseRepresentation
bin110100100100111100011…
…1000110001110101110010
3221120210222201210222120000
41221021320320301311302
51421343140231021002
623211353054330430
71344034026153150
oct151117070616562
927523881728500
107226163142002
112336664787352
1298858b4b9a16
1340556913bacc
141ada68d583d0
15c7e80a0061c
hex69278e31d72

7226163142002 has 320 divisors, whose sum is σ = 19681035264000. Its totient is φ = 1937154320640.

The previous prime is 7226163141983. The next prime is 7226163142007. The reversal of 7226163142002 is 2002413616227.

7226163142002 is a `hidden beast` number, since 7 + 2 + 2 + 616 + 3 + 14 + 20 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (7226163142007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 368502774 + ... + 368522382.

It is an arithmetic number, because the mean of its divisors is an integer number (61503235200).

Almost surely, 27226163142002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7226163142002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840517632000).

7226163142002 is an abundant number, since it is smaller than the sum of its proper divisors (12454872121998).

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

7226163142002 is a wasteful number, since it uses less digits than its factorization.

7226163142002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19923 (or 19914 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 7226163142002 its reverse (2002413616227), we get a palindrome (9228576758229).

The spelling of 7226163142002 in words is "seven trillion, two hundred twenty-six billion, one hundred sixty-three million, one hundred forty-two thousand, two".