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6245145060 = 22357511563
BaseRepresentation
bin1011101000011110…
…10101100111100100
3121010020100020110220
411310033111213210
5100242224120220
62511411044340
7310521600000
oct56417254744
917106306426
106245145060
112715248a10
1212635a06b0
13786acb70b
144335c3700
1526840d540
hex1743d59e4

6245145060 has 288 divisors, whose sum is σ = 22294766592. Its totient is φ = 1295387520.

The previous prime is 6245145031. The next prime is 6245145079. The reversal of 6245145060 is 605415426.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11092339 + ... + 11092901.

It is an arithmetic number, because the mean of its divisors is an integer number (77412384).

Almost surely, 26245145060 is an apocalyptic number.

6245145060 is a gapful number since it is divisible by the number (60) 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 6245145060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147383296).

6245145060 is an abundant number, since it is smaller than the sum of its proper divisors (16049621532).

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

6245145060 is a wasteful number, since it uses less digits than its factorization.

6245145060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 6245145060 is about 79026.2302023828. The cubic root of 6245145060 is about 1841.5386723857.

The spelling of 6245145060 in words is "six billion, two hundred forty-five million, one hundred forty-five thousand, sixty".