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10147332096 = 21832111723
BaseRepresentation
bin10010111001101010…
…00000000000000000
3222012011222212202200
421130311000000000
5131240204111341
64354524313200
7506313620406
oct113465000000
928164885680
1010147332096
1143379a4880
121b723a2800
13c59393c25
146c3955476
153e5cb1db6
hex25cd40000

10147332096 has 456 divisors, whose sum is σ = 35332749504. Its totient is φ = 2768240640.

The previous prime is 10147332047. The next prime is 10147332121. The reversal of 10147332096 is 69023374101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10147332096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441188341 + ... + 441188363.

Almost surely, 210147332096 is an apocalyptic number.

10147332096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10147332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666374752).

10147332096 is an abundant number, since it is smaller than the sum of its proper divisors (25185417408).

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

10147332096 is an equidigital number, since it uses as much as digits as its factorization.

10147332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

It can be divided in two parts, 10147 and 332096, that added together give a palindrome (342243).

The spelling of 10147332096 in words is "ten billion, one hundred forty-seven million, three hundred thirty-two thousand, ninety-six".