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5021396640 = 2532513268237
BaseRepresentation
bin1001010110100110…
…00110111010100000
3110221221122101020100
410223103012322200
540240434143030
62150133542400
7235302111231
oct45323067240
913857571210
105021396640
1121474a1687
12b817a4a00
13620410920
14358c71088
151e5c81360
hex12b4c6ea0

5021396640 has 144 divisors (see below), whose sum is σ = 18453701448. Its totient is φ = 1236031488.

The previous prime is 5021396629. The next prime is 5021396683. The reversal of 5021396640 is 466931205.

It is a happy number.

5021396640 is a `hidden beast` number, since 5 + 0 + 2 + 1 + 3 + 9 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3330213264 + 1691183376 = 57708^2 + 41124^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×50213966403 (a number of 30 digits) contains 333 as substring.

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 = 5021396595 and 5021396604.

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, 115399 + ... + 152838.

Almost surely, 25021396640 is an apocalyptic number.

It is an amenable number.

5021396640 is an abundant number, since it is smaller than the sum of its proper divisors (13432304808).

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

5021396640 is a wasteful number, since it uses less digits than its factorization.

5021396640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268271 (or 268260 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5021396640 is about 70861.8136939777. The cubic root of 5021396640 is about 1712.4116582201.

The spelling of 5021396640 in words is "five billion, twenty-one million, three hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 268237 536474 804711 1072948 1341185 1609422 2145896 2414133 2682370 3218844 3487081 4023555 4291792 4828266 5364740 6437688 6974162 8047110 8583584 9656532 10461243 10729480 12070665 12875376 13948324 16094220 17435405 19313064 20922486 21458960 24141330 25750752 27896648 31383729 32188440 34870810 38626128 41844972 42917920 48282660 52306215 55793296 62767458 64376880 69741620 77252256 83689944 96565320 104612430 111586592 125534916 128753760 139483240 156918645 167379888 193130640 209224860 251069832 278966480 313837290 334759776 386261280 418449720 502139664 557932960 627674580 836899440 1004279328 1255349160 1673798880 2510698320 5021396640