Search a number
-
+
674847463081 = 1121722321912
BaseRepresentation
bin10011101001000000000…
…10110001011010101001
32101111220021120010121111
421310200002301122221
542024041422304311
61234004243110321
766520230535051
oct11644002613251
92344807503544
10674847463081
11240223888400
12aa9590723a1
134b83a456bbc
142493c9b2561
151284ad03d21
hex9d200b16a9

674847463081 has 81 divisors (see below), whose sum is σ = 828059580439. Its totient is φ = 549413180800.

The previous prime is 674847463079. The next prime is 674847463117. The reversal of 674847463081 is 180364748476.

It is a happy number.

The square root of 674847463081 is 821491.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 525400274025 + 149447189056 = 724845^2 + 386584^2 .

It is not a de Polignac number, because 674847463081 - 21 = 674847463079 is a prime.

It is a super-2 number, since 2×6748474630812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (674847463001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3533232696 + ... + 3533232886.

Almost surely, 2674847463081 is an apocalyptic number.

674847463081 is the 821491-st square number.

674847463081 is the 410746-th centered octagonal number.

It is an amenable number.

674847463081 is a deficient number, since it is larger than the sum of its proper divisors (153212117358).

674847463081 is a wasteful number, since it uses less digits than its factorization.

674847463081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 58.

The spelling of 674847463081 in words is "six hundred seventy-four billion, eight hundred forty-seven million, four hundred sixty-three thousand, eighty-one".

Divisors: 1 11 17 23 121 187 191 253 289 391 529 2057 2101 2783 3179 3247 4301 4393 5819 6647 8993 23111 34969 35717 36481 47311 48323 55199 64009 73117 74681 98923 101039 152881 392887 401291 531553 607189 620177 804287 821491 839063 1088153 1111429 1269577 1681691 1717663 4414201 6679079 6821947 9036401 9229693 10543009 12225719 13965347 14264071 18498601 18894293 19298449 29200271 75041417 101526623 115973099 153618817 156904781 207837223 212282939 242489207 321202981 328073633 1275704089 1725952591 2335112329 2667381277 3533232791 3608809963 5577251761 29341194047 39696909593 61349769371 674847463081