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10262500416 = 263672672
BaseRepresentation
bin10011000111011000…
…10101010001000000
3222111012201001000000
421203230111101000
5132004200003131
64414201000000
7512212546200
oct114354252100
928435631000
1010262500416
114396a06503
121ba4a83000
13c771b886c
146d4d74400
15400e60ce6
hex263b15440

10262500416 has 441 divisors, whose sum is σ = 36056018439. Its totient is φ = 2888379648.

The previous prime is 10262500411. The next prime is 10262500421. The reversal of 10262500416 is 61400526201.

The square root of 10262500416 is 101304.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (10262500411) and next prime (10262500421).

It is a tau number, because it is divible by the number of its divisors (441).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10262500416.

It is not an unprimeable number, because it can be changed into a prime (10262500411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 153171615 + ... + 153171681.

It is an arithmetic number, because the mean of its divisors is an integer number (81759679).

Almost surely, 210262500416 is an apocalyptic number.

10262500416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10262500416 is the 101304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10262500416

10262500416 is an abundant number, since it is smaller than the sum of its proper divisors (25793518023).

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

10262500416 is an frugal number, since it uses more digits than its factorization.

10262500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10262500416 in words is "ten billion, two hundred sixty-two million, five hundred thousand, four hundred sixteen".