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30642250644 = 223317132712577
BaseRepresentation
bin11100100010011010…
…111010001110010100
32221002111210121122000
4130202122322032110
51000223404010034
622024333435300
72133225555465
oct344232721624
987074717560
1030642250644
1111aa482a495
125b3203bb30
132b74464a75
1416a986cd6c
15be51e0599
hex7226ba394

30642250644 has 96 divisors (see below), whose sum is σ = 84186063360. Its totient is φ = 9605246976.

The previous prime is 30642250621. The next prime is 30642250673. The reversal of 30642250644 is 44605224603.

30642250644 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 2 + 2 + 5 + 0 + 644 = 666.

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 = 30642250599 and 30642250608.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2430084 + ... + 2442660.

It is an arithmetic number, because the mean of its divisors is an integer number (876938160).

Almost surely, 230642250644 is an apocalyptic number.

30642250644 is a gapful number since it is divisible by the number (34) 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 30642250644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42093031680).

30642250644 is an abundant number, since it is smaller than the sum of its proper divisors (53543812716).

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

30642250644 is a wasteful number, since it uses less digits than its factorization.

30642250644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 30642250644 in words is "thirty billion, six hundred forty-two million, two hundred fifty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1327 1836 2654 3981 5308 7962 11943 12577 15924 22559 23886 25154 35829 37731 45118 47772 50308 67677 71658 75462 90236 113193 135354 143316 150924 203031 213809 226386 270708 339579 406062 427618 452772 609093 641427 679158 812124 855236 1218186 1282854 1358316 1924281 2436372 2565708 3848562 5772843 7697124 11545686 16689679 23091372 33379358 50069037 66758716 100138074 150207111 200276148 283724543 300414222 450621333 567449086 600828444 851173629 901242666 1134898172 1702347258 1802485332 2553520887 3404694516 5107041774 7660562661 10214083548 15321125322 30642250644