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45130830084 = 22324385734019
BaseRepresentation
bin101010000010000000…
…011101000100000100
311022111020121201012100
4222002000131010010
51214411443030314
632422142152100
73155245504044
oct520200350404
9138436551170
1045130830084
111815a1a468a
1288b6282630
13434305a6b2
142281ba7724
151292182c09
hexa8201d104

45130830084 has 72 divisors (see below), whose sum is σ = 116873396640. Its totient is φ = 14676181632.

The previous prime is 45130830067. The next prime is 45130830089. The reversal of 45130830084 is 48003803154.

45130830084 is a `hidden beast` number, since 45 + 1 + 308 + 300 + 8 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45130830089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1309627 + ... + 1343645.

It is an arithmetic number, because the mean of its divisors is an integer number (1623241620).

Almost surely, 245130830084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45130830084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58436698320).

45130830084 is an abundant number, since it is smaller than the sum of its proper divisors (71742566556).

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

45130830084 is a wasteful number, since it uses less digits than its factorization.

45130830084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34929 (or 34924 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45130830084 in words is "forty-five billion, one hundred thirty million, eight hundred thirty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 857 1548 1714 2571 3428 5142 7713 10284 15426 30852 34019 36851 68038 73702 102057 110553 136076 147404 204114 221106 306171 331659 408228 442212 612342 663318 1224684 1326636 1462817 2925634 4388451 5851268 8776902 13165353 17553804 26330706 29154283 52661412 58308566 87462849 116617132 174925698 262388547 349851396 524777094 1049554188 1253634169 2507268338 3760902507 5014536676 7521805014 11282707521 15043610028 22565415042 45130830084