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10216757568 = 263353150743
BaseRepresentation
bin10011000001111011…
…10101100101000000
3222101000122001121110
421200331311211000
5131410442220233
64405444323320
7511116002133
oct114075654500
928330561543
1010216757568
1143731031a6
121b916a3540
13c6a8910a4
146ccc6821a
153ebe27663
hex260f75940

10216757568 has 56 divisors (see below), whose sum is σ = 27108595008. Its totient is φ = 3395915776.

The previous prime is 10216757561. The next prime is 10216757591. The reversal of 10216757568 is 86575761201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10216757561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7596 + ... + 143147.

Almost surely, 210216757568 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 10216757568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13554297504).

10216757568 is an abundant number, since it is smaller than the sum of its proper divisors (16891837440).

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

10216757568 is a wasteful number, since it uses less digits than its factorization.

10216757568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151111 (or 151101 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 10216757568 in words is "ten billion, two hundred sixteen million, seven hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 353 706 1059 1412 2118 2824 4236 5648 8472 11296 16944 22592 33888 67776 150743 301486 452229 602972 904458 1205944 1808916 2411888 3617832 4823776 7235664 9647552 14471328 28942656 53212279 106424558 159636837 212849116 319273674 425698232 638547348 851396464 1277094696 1702792928 2554189392 3405585856 5108378784 10216757568