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10148834388 = 22371131135317
BaseRepresentation
bin10010111001110101…
…01110110001010100
3222012021211012112010
421130322232301110
5131241100200023
64355020424220
7506332445310
oct113472566124
928167735463
1010148834388
114338830540
121b729a8070
13c5979b964
146c3c26b40
153e5eac093
hex25ceaec54

10148834388 has 96 divisors (see below), whose sum is σ = 29619652608. Its totient is φ = 2627510400.

The previous prime is 10148834323. The next prime is 10148834407. The reversal of 10148834388 is 88343884101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269706 + ... + 305022.

It is an arithmetic number, because the mean of its divisors is an integer number (308538048).

Almost surely, 210148834388 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 10148834388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809826304).

10148834388 is an abundant number, since it is smaller than the sum of its proper divisors (19470818220).

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

10148834388 is a wasteful number, since it uses less digits than its factorization.

10148834388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35653 (or 35651 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 10148834388 in words is "ten billion, one hundred forty-eight million, eight hundred thirty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 311 462 622 924 933 1244 1866 2177 3421 3732 4354 6531 6842 8708 10263 13062 13684 20526 23947 26124 35317 41052 47894 70634 71841 95788 105951 141268 143682 211902 247219 287364 388487 423804 494438 741657 776974 988876 1165461 1483314 1553948 2330922 2719409 2966628 4661844 5438818 8158227 10877636 10983587 16316454 21967174 32632908 32950761 43934348 65901522 76885109 120819457 131803044 153770218 230655327 241638914 307540436 362458371 461310654 483277828 724916742 845736199 922621308 1449833484 1691472398 2537208597 3382944796 5074417194 10148834388