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10010980528 = 241923115573
BaseRepresentation
bin10010101001011001…
…10111000010110000
3221211200102111120121
421110230313002300
5131000302334103
64333214020024
7503036634103
oct112454670260
927750374517
1010010980528
114277a3492a
121b347a7614
13c37063423
146ad7c073a
153d8d2b6bd
hex254b370b0

10010980528 has 60 divisors (see below), whose sum is σ = 20540368368. Its totient is φ = 4725947520.

The previous prime is 10010980513. The next prime is 10010980549. The reversal of 10010980528 is 82508901001.

It is a super-3 number, since 3×100109805283 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10010980493 and 10010980502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1793550 + ... + 1799122.

Almost surely, 210010980528 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 10010980528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270184184).

10010980528 is an abundant number, since it is smaller than the sum of its proper divisors (10529387840).

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

10010980528 is a wasteful number, since it uses less digits than its factorization.

10010980528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The spelling of 10010980528 in words is "ten billion, ten million, nine hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 311 361 622 722 1244 1444 2488 2888 4976 5573 5776 5909 11146 11818 22292 23636 44584 47272 89168 94544 105887 112271 211774 224542 423548 449084 847096 898168 1694192 1733203 1796336 2011853 3466406 4023706 6932812 8047412 13865624 16094824 27731248 32189648 32930857 65861714 131723428 263446856 526893712 625686283 1251372566 2502745132 5005490264 10010980528