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42491540025 = 32521141418739
BaseRepresentation
bin100111100100101100…
…010111001000111001
311001200022022212212200
4213210230113020321
51144010313240100
631304221100413
73032660062614
oct474454271071
9131608285780
1042491540025
1117025403a30
12829a3b7709
13401230c0bc
1420b145917b
15118a5e0e00
hex9e4b17239

42491540025 has 72 divisors (see below), whose sum is σ = 85051118880. Its totient is φ = 20099424000.

The previous prime is 42491540023. The next prime is 42491540083. The reversal of 42491540025 is 52004519424.

It is a happy number.

42491540025 is a `hidden beast` number, since 4 + 2 + 4 + 91 + 540 + 0 + 25 = 666.

42491540025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42491540025 - 21 = 42491540023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42491540023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107895 + ... + 310844.

It is an arithmetic number, because the mean of its divisors is an integer number (1181265540).

Almost surely, 242491540025 is an apocalyptic number.

42491540025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42491540025 is an abundant number, since it is smaller than the sum of its proper divisors (42559578855).

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

42491540025 is a wasteful number, since it uses less digits than its factorization.

42491540025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418807 (or 418799 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 42491540025 in words is "forty-two billion, four hundred ninety-one million, five hundred forty thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 41 45 55 75 99 123 165 205 225 275 369 451 495 615 825 1025 1353 1845 2255 2475 3075 4059 6765 9225 11275 20295 33825 101475 418739 1256217 2093695 3768651 4606129 6281085 10468475 13818387 17168299 18843255 23030645 31405425 41455161 51504897 69091935 85841495 94216275 115153225 154514691 188851289 207275805 257524485 345459675 429207475 566553867 772573455 944256445 1036379025 1287622425 1699661601 2832769335 3862867275 4721282225 8498308005 14163846675 42491540025