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18057961350 = 232521121397263
BaseRepresentation
bin10000110100010101…
…101001111110000110
31201121111020111001100
4100310111221332012
5243440314230400
612143512440530
71206331065432
oct206425517606
951544214040
1018057961350
117727280700
1235bb6a9146
13191a245640
14c343d79c2
1570a507100
hex434569f86

18057961350 has 432 divisors, whose sum is σ = 58241959776. Its totient is φ = 3984076800.

The previous prime is 18057961307. The next prime is 18057961351. The reversal of 18057961350 is 5316975081.

It is a happy number.

18057961350 is a `hidden beast` number, since 18 + 0 + 579 + 6 + 13 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18057961296 and 18057961305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18057961351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 68661319 + ... + 68661581.

Almost surely, 218057961350 is an apocalyptic number.

18057961350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18057961350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29120979888).

18057961350 is an abundant number, since it is smaller than the sum of its proper divisors (40183998426).

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

18057961350 is a wasteful number, since it uses less digits than its factorization.

18057961350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 18057961350 in words is "eighteen billion, fifty-seven million, nine hundred sixty-one thousand, three hundred fifty".