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10258464672 = 253106189
BaseRepresentation
bin10011000110111001…
…11011111110100000
3222110221010000000000
421203130323332200
5132002131332142
64413534300000
7512133340161
oct114334737640
928427100000
1010258464672
1143946aa385
121ba3657600
13c76404951
146d4603768
1540091514c
hex26373bfa0

10258464672 has 264 divisors, whose sum is σ = 31136952420. Its totient is φ = 3325639680.

The previous prime is 10258464659. The next prime is 10258464679. The reversal of 10258464672 is 27646485201.

10258464672 is a `hidden beast` number, since 1 + 0 + 2 + 584 + 6 + 4 + 67 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8171436816 + 2087027856 = 90396^2 + 45684^2 .

It is not an unprimeable number, because it can be changed into a prime (10258464679) 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 43 ways as a sum of consecutive naturals, for example, 115263604 + ... + 115263692.

Almost surely, 210258464672 is an apocalyptic number.

10258464672 is a gapful number since it is divisible by the number (12) 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 10258464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568476210).

10258464672 is an abundant number, since it is smaller than the sum of its proper divisors (20878487748).

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

10258464672 is an frugal number, since it uses more digits than its factorization.

10258464672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10258464672 in words is "ten billion, two hundred fifty-eight million, four hundred sixty-four thousand, six hundred seventy-two".