Search a number
-
+
17145780048 = 2432119067917
BaseRepresentation
bin11111111011111011…
…11101011101010000
31122020220210212112200
433331331331131100
5240103304430143
611513205323200
71144613503635
oct177575753520
948226725480
1017145780048
1172a9389361
1233a6106500
1318032755a7
14b891ca18c
156a53c11d3
hex3fdf7d750

17145780048 has 30 divisors (see below), whose sum is σ = 47984370954. Its totient is φ = 5715259968.

The previous prime is 17145780011. The next prime is 17145780097. The reversal of 17145780048 is 84008754171.

17145780048 is a `hidden beast` number, since 1 + 71 + 4 + 578 + 0 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9075991824 + 8069788224 = 95268^2 + 89832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 17145779985 and 17145780012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59533815 + ... + 59534102.

Almost surely, 217145780048 is an apocalyptic number.

17145780048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

17145780048 is an abundant number, since it is smaller than the sum of its proper divisors (30838590906).

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

17145780048 is a wasteful number, since it uses less digits than its factorization.

17145780048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119067931 (or 119067922 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 17145780048 in words is "seventeen billion, one hundred forty-five million, seven hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 119067917 238135834 357203751 476271668 714407502 952543336 1071611253 1428815004 1905086672 2143222506 2857630008 4286445012 5715260016 8572890024 17145780048