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10257220512 = 253571137463
BaseRepresentation
bin10011000110110000…
…01100001110100000
3222110211202210100000
421203120030032200
5132001322024022
64413451500000
7512116635660
oct114330141640
928424683300
1010257220512
114393a2a650
121ba3157600
13c7608a566
146d439c1a0
1540076b6ac
hex26360c3a0

10257220512 has 576 divisors, whose sum is σ = 38816354304. Its totient is φ = 2586608640.

The previous prime is 10257220489. The next prime is 10257220531. The reversal of 10257220512 is 21502275201.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22153593 + ... + 22154055.

It is an arithmetic number, because the mean of its divisors is an integer number (67389504).

Almost surely, 210257220512 is an apocalyptic number.

10257220512 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 10257220512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408177152).

10257220512 is an abundant number, since it is smaller than the sum of its proper divisors (28559133792).

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

10257220512 is a wasteful number, since it uses less digits than its factorization.

10257220512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 10257220512 its reverse (21502275201), we get a palindrome (31759495713).

The spelling of 10257220512 in words is "ten billion, two hundred fifty-seven million, two hundred twenty thousand, five hundred twelve".