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255425624640 = 26335296131663
BaseRepresentation
bin1110110111100010001…
…1011011101001000000
3220102022001101010221000
43231320203123221000
513141102424442030
6313201345332000
724311453662254
oct3557043335100
9812261333830
10255425624640
119936411935a
1241605637000
131b118161684
14c511228264
15699e2e6860
hex3b788dba40

255425624640 has 448 divisors, whose sum is σ = 934238822400. Its totient is φ = 65617993728.

The previous prime is 255425624633. The next prime is 255425624653. The reversal of 255425624640 is 46426524552.

255425624640 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 2 + 562 + 46 + 40 = 666.

255425624640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 153592449 + ... + 153594111.

Almost surely, 2255425624640 is an apocalyptic number.

255425624640 is a gapful number since it is divisible by the number (20) 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 255425624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467119411200).

255425624640 is an abundant number, since it is smaller than the sum of its proper divisors (678813197760).

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

255425624640 is a wasteful number, since it uses less digits than its factorization.

255425624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 255425624640 in words is "two hundred fifty-five billion, four hundred twenty-five million, six hundred twenty-four thousand, six hundred forty".