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10353036148 = 22721331131071
BaseRepresentation
bin10011010010001011…
…01100101101110100
3222201112001201200021
421221011230231310
5132200334124043
64431153254524
7514362232600
oct115105545564
928645051607
1010353036148
114433023324
12200b264444
13c8cb975c0
14702dc0500
15408d963ed
hex26916cb74

10353036148 has 72 divisors (see below), whose sum is σ = 23429382144. Its totient is φ = 3963556800.

The previous prime is 10353036139. The next prime is 10353036167. The reversal of 10353036148 is 84163035301.

10353036148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13453 + ... + 144523.

Almost surely, 210353036148 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 10353036148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714691072).

10353036148 is an abundant number, since it is smaller than the sum of its proper divisors (13076345996).

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

10353036148 is a wasteful number, since it uses less digits than its factorization.

10353036148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131133 (or 131124 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 10353036148 in words is "ten billion, three hundred fifty-three million, thirty-six thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 182 196 217 364 403 434 637 806 868 1274 1519 1612 2548 2821 3038 5642 6076 11284 19747 39494 78988 131071 262142 524284 917497 1703923 1834994 3407846 3669988 4063201 6422479 6815692 8126402 11927461 12844958 16252804 23854922 25689916 28442407 47709844 52821613 56884814 83492227 105643226 113769628 166984454 199096849 211286452 333968908 369751291 398193698 739502582 796387396 1479005164 2588259037 5176518074 10353036148