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5005610116 = 2213192972749
BaseRepresentation
bin1001010100101101…
…11000110010000100
3110220211221100012021
410222112320302010
540222414010431
62144411332524
7235020661333
oct45226706204
913824840167
105005610116
112139599a71
12b78451144
1361a0742a0
14356b21d1a
151e46b3b11
hex12a5b8c84

5005610116 has 72 divisors (see below), whose sum is σ = 10062591000. Its totient is φ = 2165336064.

The previous prime is 5005610111. The next prime is 5005610147. The reversal of 5005610116 is 6110165005.

It can be written as a sum of positive squares in 4 ways, for example, as 9947716 + 4995662400 = 3154^2 + 70680^2 .

It is a super-2 number, since 2×50056101162 = 50112265266803066912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005610111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1819510 + ... + 1822258.

Almost surely, 25005610116 is an apocalyptic number.

It is an amenable number.

5005610116 is an abundant number, since it is smaller than the sum of its proper divisors (5056980884).

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

5005610116 is a wasteful number, since it uses less digits than its factorization.

5005610116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 5005610116 is about 70750.3365080337. The cubic root of 5005610116 is about 1710.6152518591.

The spelling of 5005610116 in words is "five billion, five million, six hundred ten thousand, one hundred sixteen".

Divisors: 1 2 4 13 19 26 38 52 76 97 194 247 361 388 494 722 988 1261 1444 1843 2522 2749 3686 4693 5044 5498 7372 9386 10996 18772 23959 35017 35737 47918 52231 70034 71474 95836 104462 140068 142948 208924 266653 455221 533306 679003 910442 992389 1066612 1358006 1820884 1984778 2716012 3466489 3969556 5066407 6932978 10132814 12901057 13865956 20265628 25802114 51604228 65863291 96261733 131726582 192523466 263453164 385046932 1251402529 2502805058 5005610116