Search a number
-
+
10153652454 = 235119372027
BaseRepresentation
bin10010111010011010…
…00111000011100110
3222012121212222200000
421131031013003212
5131243313334304
64355312002130
7506421423201
oct113515070346
928177788600
1010153652454
114340521410
121b74530346
13c5a79799a
146c471c938
153e660e939
hex25d3470e6

10153652454 has 96 divisors (see below), whose sum is σ = 24927267456. Its totient is φ = 3072064320.

The previous prime is 10153652449. The next prime is 10153652461. The reversal of 10153652454 is 45425635101.

10153652454 is a `hidden beast` number, since 1 + 0 + 153 + 6 + 52 + 454 = 666.

10153652454 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 47 ways as a sum of consecutive naturals, for example, 5008189 + ... + 5010215.

It is an arithmetic number, because the mean of its divisors is an integer number (259659036).

Almost surely, 210153652454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10153652454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463633728).

10153652454 is an abundant number, since it is smaller than the sum of its proper divisors (14773615002).

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

10153652454 is a wasteful number, since it uses less digits than its factorization.

10153652454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10153652454 in words is "ten billion, one hundred fifty-three million, six hundred fifty-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 937 1782 1874 2027 2673 2811 4054 5346 5622 6081 8433 10307 12162 16866 18243 20614 22297 25299 30921 36486 44594 50598 54729 61842 66891 75897 92763 109458 133782 151794 164187 185526 200673 227691 278289 328374 401346 455382 492561 556578 602019 834867 985122 1204038 1669734 1806057 1899299 2504601 3612114 3798598 5009202 5418171 5697897 10836342 11395794 17093691 20892289 34187382 41784578 51281073 62676867 102562146 125353734 153843219 188030601 307686438 376061202 461529657 564091803 923059314 1128183606 1692275409 3384550818 5076826227 10153652454