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5145816180 = 22351071934153
BaseRepresentation
bin1001100101011011…
…01110110001110100
3111021121202112202110
410302231232301310
541014312104210
62210340411020
7241342500351
oct46255566164
914247675673
105145816180
11220075194a
12bb73a6a70
1364012435b
1436b5bb628
15201b5b420
hex132b6ec74

5145816180 has 96 divisors (see below), whose sum is σ = 14621814144. Its totient is φ = 1352024064.

The previous prime is 5145816131. The next prime is 5145816187. The reversal of 5145816180 is 816185415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5145816187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236984 + ... + 1241136.

It is an arithmetic number, because the mean of its divisors is an integer number (152310564).

Almost surely, 25145816180 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 5145816180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310907072).

5145816180 is an abundant number, since it is smaller than the sum of its proper divisors (9475997964).

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

5145816180 is a wasteful number, since it uses less digits than its factorization.

5145816180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 39.

The square root of 5145816180 is about 71734.3444941124. The cubic root of 5145816180 is about 1726.4397339607.

The spelling of 5145816180 in words is "five billion, one hundred forty-five million, eight hundred sixteen thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 193 214 321 386 428 535 579 642 772 965 1070 1158 1284 1605 1930 2140 2316 2895 3210 3860 4153 5790 6420 8306 11580 12459 16612 20651 20765 24918 41302 41530 49836 61953 62295 82604 83060 103255 123906 124590 206510 247812 249180 309765 413020 444371 619530 801529 888742 1239060 1333113 1603058 1777484 2221855 2404587 2666226 3206116 4007645 4443710 4809174 5332452 6665565 8015290 8887420 9618348 12022935 13331130 16030580 24045870 26662260 48091740 85763603 171527206 257290809 343054412 428818015 514581618 857636030 1029163236 1286454045 1715272060 2572908090 5145816180