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10883016080 = 2451912756377
BaseRepresentation
bin10100010001010110…
…11010010110010000
31001002110022111110122
422020223122112100
5134242023003310
64555524445412
7533456052566
oct121053322620
931073274418
1010883016080
1146851a7072
122138849868
1310459184b1
1475353ba36
1543a682555
hex288ada590

10883016080 has 80 divisors (see below), whose sum is σ = 26844948480. Its totient is φ = 4091544576.

The previous prime is 10883016047. The next prime is 10883016119. The reversal of 10883016080 is 8061038801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10883016080.

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, 164852 + ... + 221228.

It is an arithmetic number, because the mean of its divisors is an integer number (335561856).

Almost surely, 210883016080 is an apocalyptic number.

10883016080 is a gapful number since it is divisible by the number (10) 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 10883016080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422474240).

10883016080 is an abundant number, since it is smaller than the sum of its proper divisors (15961932400).

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

10883016080 is a wasteful number, since it uses less digits than its factorization.

10883016080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56536 (or 56530 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 10883016080 in words is "ten billion, eight hundred eighty-three million, sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 127 152 190 254 304 380 508 635 760 1016 1270 1520 2032 2413 2540 4826 5080 9652 10160 12065 19304 24130 38608 48260 56377 96520 112754 193040 225508 281885 451016 563770 902032 1071163 1127540 2142326 2255080 4284652 4510160 5355815 7159879 8569304 10711630 14319758 17138608 21423260 28639516 35799395 42846520 57279032 71598790 85693040 114558064 136037701 143197580 272075402 286395160 544150804 572790320 680188505 1088301608 1360377010 2176603216 2720754020 5441508040 10883016080