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10047444498 = 2337133773757
BaseRepresentation
bin10010101101101111…
…11101011000010010
3221221020001001202000
421112313331120102
5131034121210443
64340555334430
7503661604050
oct112667753022
927836031660
1010047444498
11429657a843
121b44a51416
13c4178c640
146b45931d0
153dc1308d3
hex256dfd612

10047444498 has 256 divisors, whose sum is σ = 28647306240. Its totient is φ = 2539579392.

The previous prime is 10047444497. The next prime is 10047444521. The reversal of 10047444498 is 89444474001.

It is a super-2 number, since 2×100474444982 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10047444497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13272336 + ... + 13273092.

It is an arithmetic number, because the mean of its divisors is an integer number (111903540).

Almost surely, 210047444498 is an apocalyptic number.

10047444498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10047444498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14323653120).

10047444498 is an abundant number, since it is smaller than the sum of its proper divisors (18599861742).

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

10047444498 is a wasteful number, since it uses less digits than its factorization.

10047444498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10047444498 in words is "ten billion, forty-seven million, four hundred forty-four thousand, four hundred ninety-eight".