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5103778368 = 263132157291
BaseRepresentation
bin1001100000011010…
…10111101001000000
3111011200122210201110
410300031113221000
540423031401433
62202235403320
7240322254213
oct46015275100
914150583643
105103778368
112189a4a257
12ba52b3540
136344c6100
14365b9777a
151ed105963
hex130357a40

5103778368 has 84 divisors (see below), whose sum is σ = 14622493488. Its totient is φ = 1570383360.

The previous prime is 5103778367. The next prime is 5103778373. The reversal of 5103778368 is 8638773015.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5103778367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46198 + ... + 111093.

Almost surely, 25103778368 is an apocalyptic number.

It is an amenable number.

5103778368 is an abundant number, since it is smaller than the sum of its proper divisors (9518715120).

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

5103778368 is a wasteful number, since it uses less digits than its factorization.

5103778368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157332 (or 157309 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 5103778368 is about 71440.7332549156. The cubic root of 5103778368 is about 1721.7255946962.

The spelling of 5103778368 in words is "five billion, one hundred three million, seven hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 5408 8112 10816 16224 32448 157291 314582 471873 629164 943746 1258328 1887492 2044783 2516656 3774984 4089566 5033312 6134349 7549968 8179132 10066624 12268698 15099936 16358264 24537396 26582179 30199872 32716528 49074792 53164358 65433056 79746537 98149584 106328716 130866112 159493074 196299168 212657432 318986148 392598336 425314864 637972296 850629728 1275944592 1701259456 2551889184 5103778368