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5042194560 = 2732513172233
BaseRepresentation
bin1001011001000100…
…11100100010000000
3111000101210000121200
410230202130202000
540311300211220
62152155421200
7235643642454
oct45442344200
914011700550
105042194560
112158207447
12b88754800
136248132a0
1435b926664
151e79dd890
hex12c89c880

5042194560 has 576 divisors, whose sum is σ = 20004009480. Its totient is φ = 1163132928.

The previous prime is 5042194517. The next prime is 5042194613. The reversal of 5042194560 is 654912405.

5042194560 is a `hidden beast` number, since 5 + 0 + 4 + 2 + 1 + 94 + 560 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 340623936 + 4701570624 = 18456^2 + 68568^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21640204 + ... + 21640436.

Almost surely, 25042194560 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 5042194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10002004740).

5042194560 is an abundant number, since it is smaller than the sum of its proper divisors (14961814920).

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

5042194560 is a wasteful number, since it uses less digits than its factorization.

5042194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5042194560 is about 71008.4118960564. The cubic root of 5042194560 is about 1714.7725912320.

The spelling of 5042194560 in words is "five billion, forty-two million, one hundred ninety-four thousand, five hundred sixty".