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10558325340 = 223253147127317
BaseRepresentation
bin10011101010101001…
…10100001001011100
31000020211100111111200
421311110310021130
5133110412402330
64503405315500
7522434166423
oct116524641134
930224314450
1010558325340
114528999112
122067b65b90
13cc35841b4
1472237c2ba
1541bde7a60
hex27553425c

10558325340 has 288 divisors, whose sum is σ = 34136653824. Its totient is φ = 2637411840.

The previous prime is 10558325299. The next prime is 10558325363. The reversal of 10558325340 is 4352385501.

10558325340 is a `hidden beast` number, since 10 + 5 + 583 + 25 + 3 + 40 = 666.

It is a super-2 number, since 2×105583253402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10558325295 and 10558325304.

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, 33306862 + ... + 33307178.

It is an arithmetic number, because the mean of its divisors is an integer number (118530048).

Almost surely, 210558325340 is an apocalyptic number.

10558325340 is a gapful number since it is divisible by the number (10) 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 10558325340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068326912).

10558325340 is an abundant number, since it is smaller than the sum of its proper divisors (23578328484).

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

10558325340 is a wasteful number, since it uses less digits than its factorization.

10558325340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 10558325340 in words is "ten billion, five hundred fifty-eight million, three hundred twenty-five thousand, three hundred forty".