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10880024532 = 22313412716277
BaseRepresentation
bin10100010000111111…
…11111111111010100
31001002020200111211120
422020133333333110
5134240241241112
64555340403540
7533421453066
oct121037777724
931066614746
1010880024532
114683543513
1221378465b0
13104510b950
14752d9d736
1543a290e8c
hex2887fffd4

10880024532 has 96 divisors (see below), whose sum is σ = 28114189824. Its totient is φ = 3253478400.

The previous prime is 10880024527. The next prime is 10880024537. The reversal of 10880024532 is 23542008801.

It is an interprime number because it is at equal distance from previous prime (10880024527) and next prime (10880024537).

It is a junction number, because it is equal to n+sod(n) for n = 10880024493 and 10880024502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10880024537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1730178 + ... + 1736454.

It is an arithmetic number, because the mean of its divisors is an integer number (292856144).

Almost surely, 210880024532 is an apocalyptic number.

10880024532 is a gapful number since it is divisible by the number (12) 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 10880024532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057094912).

10880024532 is an abundant number, since it is smaller than the sum of its proper divisors (17234165292).

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

10880024532 is a wasteful number, since it uses less digits than its factorization.

10880024532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 10880024532 in words is "ten billion, eight hundred eighty million, twenty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 271 492 533 542 813 1066 1084 1599 1626 2132 3198 3252 3523 6277 6396 7046 10569 11111 12554 14092 18831 21138 22222 25108 33333 37662 42276 44444 66666 75324 81601 133332 144443 163202 244803 257357 288886 326404 433329 489606 514714 577772 772071 866658 979212 1029428 1544142 1701067 1733316 3088284 3345641 3402134 5103201 6691282 6804268 10036923 10206402 13382564 20073846 20412804 22113871 40147692 44227742 66341613 69743747 88455484 132683226 139487494 209231241 265366452 278974988 418462482 836924964 906668711 1813337422 2720006133 3626674844 5440012266 10880024532