Search a number
-
+
17382697968 = 243834363127
BaseRepresentation
bin10000001100000101…
…101110101111110000
31122212102121112211110
4100030011232233300
5241044432313333
611552511313320
71153521331506
oct201405565760
948772545743
1017382697968
117410097299
12345151b840
1318403875cc
14bac85c676
156bb0be063
hex40c16ebf0

17382697968 has 40 divisors (see below), whose sum is σ = 45446341248. Its totient is φ = 5724421312.

The previous prime is 17382697919. The next prime is 17382697993. The reversal of 17382697968 is 86979628371.

It is a super-2 number, since 2×173826979682 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 17382697899 and 17382697908.

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, 2177580 + ... + 2185547.

Almost surely, 217382697968 is an apocalyptic number.

It is an amenable number.

17382697968 is an abundant number, since it is smaller than the sum of its proper divisors (28063643280).

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

17382697968 is a wasteful number, since it uses less digits than its factorization.

17382697968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363221 (or 4363215 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 66.

The spelling of 17382697968 in words is "seventeen billion, three hundred eighty-two million, six hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 4363127 8726254 13089381 17452508 26178762 34905016 52357524 69810032 104715048 209430096 362139541 724279082 1086418623 1448558164 2172837246 2897116328 4345674492 5794232656 8691348984 17382697968