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5042774880 = 253551113907
BaseRepresentation
bin1001011001001001…
…01010001101100000
3111000102212111200000
410230210222031200
540311422244010
62152220100000
7235651610403
oct45444521540
914012774600
105042774880
112158573450
12b88994600
13624987480
1435ba37d3a
151e7aa57c0
hex12c92a360

5042774880 has 576 divisors, whose sum is σ = 20988834048. Its totient is φ = 1127208960.

The previous prime is 5042774873. The next prime is 5042774897. The reversal of 5042774880 is 884772405.

5042774880 is a `hidden beast` number, since 504 + 27 + 7 + 48 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5559387 + ... + 5560293.

It is an arithmetic number, because the mean of its divisors is an integer number (36438948).

Almost surely, 25042774880 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 5042774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494417024).

5042774880 is an abundant number, since it is smaller than the sum of its proper divisors (15946059168).

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

5042774880 is a wasteful number, since it uses less digits than its factorization.

5042774880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 5042774880 is about 71012.4980549199. The cubic root of 5042774880 is about 1714.8383746685.

The spelling of 5042774880 in words is "five billion, forty-two million, seven hundred seventy-four thousand, eight hundred eighty".