Search a number
-
+
34641201641 = 193749276247
BaseRepresentation
bin100000010000110001…
…101100100111101001
310022102012112101010012
4200100301230213221
51031421121423031
623525225101305
72334304232654
oct402061544751
9108365471105
1034641201641
1113767067572
126869327835
133360aa9b67
1419689cc89b
15d7b309b2b
hex810c6c9e9

34641201641 has 8 divisors (see below), whose sum is σ = 37449948480. Its totient is φ = 31931007408.

The previous prime is 34641201629. The next prime is 34641201643. The reversal of 34641201641 is 14610214643.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34641201641 is a prime.

It is a super-2 number, since 2×346412016412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34641201598 and 34641201607.

It is not an unprimeable number, because it can be changed into a prime (34641201643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24637421 + ... + 24638826.

It is an arithmetic number, because the mean of its divisors is an integer number (4681243560).

Almost surely, 234641201641 is an apocalyptic number.

It is an amenable number.

34641201641 is a deficient number, since it is larger than the sum of its proper divisors (2808746839).

34641201641 is a wasteful number, since it uses less digits than its factorization.

34641201641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49276303.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 34641201641 in words is "thirty-four billion, six hundred forty-one million, two hundred one thousand, six hundred forty-one".

Divisors: 1 19 37 703 49276247 936248693 1823221139 34641201641