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450648413904 = 243131264157131
BaseRepresentation
bin1101000111011001011…
…11010001011011010000
31121002012110111101021110
412203230233101123100
524340411443221104
6543005223253320
744362326213213
oct6435457213320
91532173441243
10450648413904
11164134310407
12734092aa240
133365a828120
1417b50a7d77a
15bac8170e89
hex68ecbd16d0

450648413904 has 80 divisors (see below), whose sum is σ = 1253848123584. Its totient is φ = 138647654400.

The previous prime is 450648413861. The next prime is 450648413909. The reversal of 450648413904 is 409314846054.

It is a happy number.

450648413904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450648413909) 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, 7859419 + ... + 7916549.

Almost surely, 2450648413904 is an apocalyptic number.

It is an amenable number.

450648413904 is an abundant number, since it is smaller than the sum of its proper divisors (803199709680).

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

450648413904 is a wasteful number, since it uses less digits than its factorization.

450648413904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69796 (or 69790 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 450648413904 in words is "four hundred fifty billion, six hundred forty-eight million, four hundred thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 12641 25282 37923 50564 57131 75846 101128 114262 151692 164333 171393 202256 228524 303384 328666 342786 457048 492999 606768 657332 685572 742703 914096 985998 1314664 1371144 1485406 1971996 2228109 2629328 2742288 2970812 3943992 4456218 5941624 7887984 8912436 11883248 17824872 35649744 722192971 1444385942 2166578913 2888771884 4333157826 5777543768 8666315652 9388508623 11555087536 17332631304 18777017246 28165525869 34665262608 37554034492 56331051738 75108068984 112662103476 150216137968 225324206952 450648413904