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5201332416 = 263271290013
BaseRepresentation
bin1001101100000011…
…00000100011000000
3111102111020001201100
410312001200203000
541123020114131
62220042334400
7242615411310
oct46601404300
914374201640
105201332416
11222a020035
121011aba400
1364b7914b7
14374b0d440
152069757e6
hex1360608c0

5201332416 has 84 divisors (see below), whose sum is σ = 17038504912. Its totient is φ = 1486093824.

The previous prime is 5201332397. The next prime is 5201332453. The reversal of 5201332416 is 6142331025.

5201332416 is a `hidden beast` number, since 520 + 133 + 2 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 5201332416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640975 + ... + 649038.

Almost surely, 25201332416 is an apocalyptic number.

5201332416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5201332416 is an abundant number, since it is smaller than the sum of its proper divisors (11837172496).

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

5201332416 is a wasteful number, since it uses less digits than its factorization.

5201332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290038 (or 1290025 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5201332416 is about 72120.2635602505. The cubic root of 5201332416 is about 1732.6261712301.

The spelling of 5201332416 in words is "five billion, two hundred one million, three hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 1290013 2580026 3870039 5160052 7740078 9030091 10320104 11610117 15480156 18060182 20640208 23220234 27090273 30960312 36120364 41280416 46440468 54180546 61920624 72240728 81270819 82560832 92880936 108361092 123841248 144481456 162541638 185761872 216722184 247682496 288962912 325083276 371523744 433444368 577925824 650166552 743047488 866888736 1300333104 1733777472 2600666208 5201332416