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3113048768 = 261931269307
BaseRepresentation
bin1011100110001101…
…0101101011000000
322000221202021002112
42321203111223000
522333420030033
61232523234452
7140100322634
oct27143255300
98027667075
103113048768
111358264685
1272a678a28
133a7c464bb
14217632dc4
15133474c48
hexb98d5ac0

3113048768 has 112 divisors (see below), whose sum is σ = 6759244800. Its totient is φ = 1417098240.

The previous prime is 3113048723. The next prime is 3113048791. The reversal of 3113048768 is 8678403113.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10140071 + ... + 10140377.

It is an arithmetic number, because the mean of its divisors is an integer number (60350400).

Almost surely, 23113048768 is an apocalyptic number.

3113048768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379622400).

3113048768 is an abundant number, since it is smaller than the sum of its proper divisors (3646196032).

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

3113048768 is a wasteful number, since it uses less digits than its factorization.

3113048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 3113048768 is about 55794.7019707069. The cubic root of 3113048768 is about 1460.1427220208.

The spelling of 3113048768 in words is "three billion, one hundred thirteen million, forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 152 248 269 304 307 496 538 589 608 614 992 1076 1178 1216 1228 1984 2152 2356 2456 4304 4712 4912 5111 5833 8339 8608 9424 9517 9824 10222 11666 16678 17216 18848 19034 19648 20444 23332 33356 37696 38068 40888 46664 66712 76136 81776 82583 93328 133424 152272 158441 163552 165166 180823 186656 266848 304544 316882 327104 330332 361646 373312 533696 609088 633764 660664 723292 1267528 1321328 1446584 1569077 2535056 2560073 2642656 2893168 3138154 5070112 5120146 5285312 5786336 6276308 10140224 10240292 11572672 12552616 20480584 25105232 40961168 48641387 50210464 81922336 97282774 100420928 163844672 194565548 389131096 778262192 1556524384 3113048768