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34681418643 = 3372111480783
BaseRepresentation
bin100000010011001011…
…000111001110010011
310022112000012121110210
4200103023013032103
51032011420344033
623533223055203
72335303123464
oct402313071623
9108460177423
1034681418643
1113787836163
12687a8a1503
13336921b3c1
14197009ad6b
15d7eb00d63
hex8132c7393

34681418643 has 16 divisors (see below), whose sum is σ = 47716783616. Its totient is φ = 22389423840.

The previous prime is 34681418627. The next prime is 34681418669.

34681418643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34681418643 - 24 = 34681418627 is a prime.

It is a super-2 number, since 2×346814186432 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34681418592 and 34681418601.

It is not an unprimeable number, because it can be changed into a prime (34681417643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 716971 + ... + 763812.

It is an arithmetic number, because the mean of its divisors is an integer number (2982298976).

Almost surely, 234681418643 is an apocalyptic number.

34681418643 is a deficient number, since it is larger than the sum of its proper divisors (13035364973).

34681418643 is a wasteful number, since it uses less digits than its factorization.

34681418643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481034.

The product of its digits is 1327104, while the sum is 48.

The spelling of 34681418643 in words is "thirty-four billion, six hundred eighty-one million, four hundred eighteen thousand, six hundred forty-three".

Divisors: 1 3 37 111 211 633 7807 23421 1480783 4442349 54788971 164366913 312445213 937335639 11560472881 34681418643