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5044274640 = 2432514334889
BaseRepresentation
bin1001011001010100…
…11000010111010000
3111000112200200221200
410230222120113100
540312313242030
62152312151200
7236000425026
oct45452302720
914015620850
105044274640
1121593a8219
12b89398500
13625090cc2
1435bd08716
151e7c9ed60
hex12ca985d0

5044274640 has 120 divisors (see below), whose sum is σ = 16955644680. Its totient is φ = 1343926272.

The previous prime is 5044274633. The next prime is 5044274657. The reversal of 5044274640 is 464724405.

5044274640 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 2 + 7 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1627638336 + 3416636304 = 40344^2 + 58452^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 5044274595 and 5044274604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029316 + ... + 1034204.

It is an arithmetic number, because the mean of its divisors is an integer number (141297039).

Almost surely, 25044274640 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 5044274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8477822340).

5044274640 is an abundant number, since it is smaller than the sum of its proper divisors (11911370040).

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

5044274640 is a wasteful number, since it uses less digits than its factorization.

5044274640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 5044274640 is about 71023.0571011978. The cubic root of 5044274640 is about 1715.0083598546.

The spelling of 5044274640 in words is "five billion, forty-four million, two hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1433 2866 4299 4889 5732 7165 8598 9778 11464 12897 14330 14667 17196 19556 21495 22928 24445 25794 28660 29334 34392 39112 42990 44001 48890 51588 57320 58668 64485 68784 73335 78224 85980 88002 97780 103176 114640 117336 128970 146670 171960 176004 195560 206352 220005 234672 257940 293340 343920 352008 391120 440010 515880 586680 704016 880020 1031760 1173360 1760040 3520080 7005937 14011874 21017811 28023748 35029685 42035622 56047496 63053433 70059370 84071244 105089055 112094992 126106866 140118740 168142488 210178110 252213732 280237480 315267165 336284976 420356220 504427464 560474960 630534330 840712440 1008854928 1261068660 1681424880 2522137320 5044274640