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10153349952 = 26352882031
BaseRepresentation
bin10010111010010111…
…11101001101000000
3222012121022121201020
421131023331031000
5131243224144302
64355301305440
7506416023234
oct113513751500
928177277636
1010153349952
114340335109
121b74405280
13c5a6c00a5
146c46805c4
153e659eebc
hex25d2fd340

10153349952 has 28 divisors (see below), whose sum is σ = 26864072256. Its totient is φ = 3384449920.

The previous prime is 10153349929. The next prime is 10153349957. The reversal of 10153349952 is 25994335101.

10153349952 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 not an unprimeable number, because it can be changed into a prime (10153349957) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 26440824 + ... + 26441207.

It is an arithmetic number, because the mean of its divisors is an integer number (959431152).

Almost surely, 210153349952 is an apocalyptic number.

10153349952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10153349952 is an abundant number, since it is smaller than the sum of its proper divisors (16710722304).

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

10153349952 is an equidigital number, since it uses as much as digits as its factorization.

10153349952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52882046 (or 52882036 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The spelling of 10153349952 in words is "ten billion, one hundred fifty-three million, three hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 52882031 105764062 158646093 211528124 317292186 423056248 634584372 846112496 1269168744 1692224992 2538337488 3384449984 5076674976 10153349952