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10088093488 = 2411173499661
BaseRepresentation
bin10010110010100110…
…00001011100110000
3222001001112020200011
421121103001130300
5131130022442423
64345010504304
7504664244164
oct113123013460
928031466604
1010088093488
114307513a50
121b56595094
13c4a0226b5
146b9b34ca4
153e09aeb0d
hex2594c1730

10088093488 has 80 divisors (see below), whose sum is σ = 22643863200. Its totient is φ = 4302950400.

The previous prime is 10088093479. The next prime is 10088093579. The reversal of 10088093488 is 88439088001.

It is a super-2 number, since 2×100880934882 (a number of 21 digits) contains 22 as substring.

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, 1039378 + ... + 1049038.

It is an arithmetic number, because the mean of its divisors is an integer number (283048290).

Almost surely, 210088093488 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 10088093488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321931600).

10088093488 is an abundant number, since it is smaller than the sum of its proper divisors (12555769712).

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

10088093488 is a wasteful number, since it uses less digits than its factorization.

10088093488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10046 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

The spelling of 10088093488 in words is "ten billion, eighty-eight million, ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 349 374 698 748 1396 1496 2792 2992 3839 5584 5933 7678 9661 11866 15356 19322 23732 30712 38644 47464 61424 65263 77288 94928 106271 130526 154576 164237 212542 261052 328474 425084 522104 656948 850168 1044208 1313896 1700336 1806607 2627792 3371689 3613214 6743378 7226428 13486756 14452856 26973512 28905712 37088579 53947024 57318713 74177158 114637426 148354316 229274852 296708632 458549704 593417264 630505843 917099408 1261011686 2522023372 5044046744 10088093488