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10029986648 = 2311235998273
BaseRepresentation
bin10010101011101010…
…10111001101011000
3221220000012010001222
421111311113031120
5131020134033043
64335133231212
7503360323403
oct112565271530
927800163058
1010029986648
114287736470
121b3b032508
13c3ac89356
146b212ad3a
153da832d68
hex255d57358

10029986648 has 64 divisors (see below), whose sum is σ = 21446208000. Its totient is φ = 4353057280.

The previous prime is 10029986647. The next prime is 10029986653. The reversal of 10029986648 is 84668992001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10029986648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10029986647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208240 + ... + 1216512.

It is an arithmetic number, because the mean of its divisors is an integer number (335097000).

Almost surely, 210029986648 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 10029986648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10723104000).

10029986648 is an abundant number, since it is smaller than the sum of its proper divisors (11416221352).

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

10029986648 is a wasteful number, since it uses less digits than its factorization.

10029986648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8912 (or 8908 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 53.

The spelling of 10029986648 in words is "ten billion, twenty-nine million, nine hundred eighty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 599 1012 1198 2024 2396 4792 6589 8273 13178 13777 16546 26356 27554 33092 52712 55108 66184 91003 110216 151547 182006 190279 303094 364012 380558 606188 728024 761116 1212376 1522232 2093069 4186138 4955527 8372276 9911054 16744552 19822108 39644216 54510797 109021594 113977121 218043188 227954242 436086376 455908484 911816968 1253748331 2507496662 5014993324 10029986648