Search a number
-
+
361230579450 = 233521324336821
BaseRepresentation
bin1010100000110110000…
…01010011011011111010
31021112101210001202011000
411100123001103123322
521404300012020300
6433540320545430
735045426156256
oct5203301233372
91245353052130
10361230579450
1112a219276974
125a013482276
13280aa4c8c00
14136ab205266
1595e2e8cc00
hex541b0536fa

361230579450 has 288 divisors, whose sum is σ = 1102945567680. Its totient is φ = 86848070400.

The previous prime is 361230579427. The next prime is 361230579467. The reversal of 361230579450 is 54975032163.

361230579450 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 30 + 579 + 45 + 0 = 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 = 361230579396 and 361230579405.

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 143 ways as a sum of consecutive naturals, for example, 9792040 + ... + 9828860.

It is an arithmetic number, because the mean of its divisors is an integer number (3829672110).

Almost surely, 2361230579450 is an apocalyptic number.

361230579450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 361230579450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551472783840).

361230579450 is an abundant number, since it is smaller than the sum of its proper divisors (741714988230).

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

361230579450 is a wasteful number, since it uses less digits than its factorization.

361230579450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36911 (or 36887 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 361230579450 in words is "three hundred sixty-one billion, two hundred thirty million, five hundred seventy-nine thousand, four hundred fifty".