Search a number
-
+
5097696648 = 23311193100049
BaseRepresentation
bin1001011111101100…
…01010110110001000
3111011021012211011120
410233312022312020
540420002243043
62201501155240
7240216464232
oct45766126610
914137184146
105097696648
112186575a40
12ba325bb20
13633176b65
14365053252
151ec803983
hex12fd8ad88

5097696648 has 64 divisors (see below), whose sum is σ = 13974984000. Its totient is φ = 1536737280.

The previous prime is 5097696613. The next prime is 5097696661. The reversal of 5097696648 is 8466967905.

It is a super-2 number, since 2×50976966482 = 51973022230060871808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5097696591 and 5097696600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928 + ... + 100976.

It is an arithmetic number, because the mean of its divisors is an integer number (218359125).

Almost surely, 25097696648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5097696648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987492000).

5097696648 is an abundant number, since it is smaller than the sum of its proper divisors (8877287352).

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

5097696648 is a wasteful number, since it uses less digits than its factorization.

5097696648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100262 (or 100258 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The square root of 5097696648 is about 71398.1557745016. The cubic root of 5097696648 is about 1721.0414469841.

The spelling of 5097696648 in words is "five billion, ninety-seven million, six hundred ninety-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 264 386 579 772 1158 1544 2123 2316 4246 4632 6369 8492 12738 16984 25476 50952 100049 200098 300147 400196 600294 800392 1100539 1200588 2201078 2401176 3301617 4402156 6603234 8804312 13206468 19309457 26412936 38618914 57928371 77237828 115856742 154475656 212404027 231713484 424808054 463426968 637212081 849616108 1274424162 1699232216 2548848324 5097696648