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34504350016 = 261753598369
BaseRepresentation
bin100000001000100111…
…101001100101000000
310022001200000120222111
4200020213221211000
51031131103200031
623503455545104
72331023064433
oct401047514500
9108050016874
1034504350016
11136a6895954
12682b52b194
13333b632876
14195476781a
15d6e2c61b1
hex8089e9940

34504350016 has 56 divisors (see below), whose sum is σ = 73865186280. Its totient is φ = 15930949632.

The previous prime is 34504350007. The next prime is 34504350107. The reversal of 34504350016 is 61005340543.

It can be written as a sum of positive squares in 4 ways, for example, as 12612188416 + 21892161600 = 112304^2 + 147960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34504350016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241521 + ... + 356848.

Almost surely, 234504350016 is an apocalyptic number.

It is an amenable number.

34504350016 is an abundant number, since it is smaller than the sum of its proper divisors (39360836264).

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

34504350016 is a wasteful number, since it uses less digits than its factorization.

34504350016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598451 (or 598441 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 34504350016 its reverse (61005340543), we get a palindrome (95509690559).

The spelling of 34504350016 in words is "thirty-four billion, five hundred four million, three hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 136 212 272 424 544 848 901 1088 1696 1802 3392 3604 7208 14416 28832 57664 598369 1196738 2393476 4786952 9573904 10172273 19147808 20344546 31713557 38295616 40689092 63427114 81378184 126854228 162756368 253708456 325512736 507416912 539130469 651025472 1014833824 1078260938 2029667648 2156521876 4313043752 8626087504 17252175008 34504350016