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5363662416 = 243737342797
BaseRepresentation
bin1001111111011001…
…01111111001010000
3111211210200021121120
410333230233321100
541441044144131
62244121522240
7246626243520
oct47754577120
914753607546
105363662416
112302713a62
121058343380
136762b9658
1438c4c7680
15215d3d496
hex13fb2fe50

5363662416 has 80 divisors (see below), whose sum is σ = 15878400384. Its totient is φ = 1528330752.

The previous prime is 5363662379. The next prime is 5363662427. The reversal of 5363662416 is 6142663635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103930 + ... + 146726.

Almost surely, 25363662416 is an apocalyptic number.

5363662416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5363662416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939200192).

5363662416 is an abundant number, since it is smaller than the sum of its proper divisors (10514737968).

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

5363662416 is a wasteful number, since it uses less digits than its factorization.

5363662416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43188 (or 43182 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 5363662416 is about 73237.0289949012. The cubic root of 5363662416 is about 1750.4665331395.

The spelling of 5363662416 in words is "five billion, three hundred sixty-three million, six hundred sixty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 373 746 1119 1492 2238 2611 2984 4476 5222 5968 7833 8952 10444 15666 17904 20888 31332 41776 42797 62664 85594 125328 128391 171188 256782 299579 342376 513564 599158 684752 898737 1027128 1198316 1797474 2054256 2396632 3594948 4793264 7189896 14379792 15963281 31926562 47889843 63853124 95779686 111742967 127706248 191559372 223485934 255412496 335228901 383118744 446971868 670457802 766237488 893943736 1340915604 1787887472 2681831208 5363662416