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5145335415 = 32511971011061
BaseRepresentation
bin1001100101010111…
…11001011001110111
3111021120212010021100
410302223321121313
541014201213130
62210322221143
7241335425613
oct46253713167
914246763240
105145335415
112200453720
12bb71b47b3
1363ccb658c
1436b4d4343
15201ab3c60
hex132af9677

5145335415 has 96 divisors (see below), whose sum is σ = 9936343872. Its totient is φ = 2442240000.

The previous prime is 5145335407. The next prime is 5145335471.

5145335415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5145335415 - 23 = 5145335407 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5145335415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4848985 + ... + 4850045.

It is an arithmetic number, because the mean of its divisors is an integer number (103503582).

Almost surely, 25145335415 is an apocalyptic number.

5145335415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5145335415 is a deficient number, since it is larger than the sum of its proper divisors (4791008457).

5145335415 is a wasteful number, since it uses less digits than its factorization.

5145335415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1278 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 5145335415 is about 71730.9934059190. The cubic root of 5145335415 is about 1726.3859661605.

It can be divided in two parts, 51453 and 35415, that added together give a palindrome (86868).

The spelling of 5145335415 in words is "five billion, one hundred forty-five million, three hundred thirty-five thousand, four hundred fifteen".

Divisors: 1 3 5 9 11 15 33 45 55 97 99 101 165 291 303 485 495 505 873 909 1061 1067 1111 1455 1515 3183 3201 3333 4365 4545 5305 5335 5555 9549 9603 9797 9999 11671 15915 16005 16665 29391 35013 47745 48015 48985 49995 58355 88173 102917 105039 107161 107767 146955 175065 308751 321483 323301 440865 514585 525195 535805 538835 926253 964449 969903 1132087 1178771 1543755 1607415 1616505 3396261 3536313 4631265 4822245 4849515 5660435 5893855 10188783 10394617 10608939 16981305 17681565 31183851 50943915 51973085 53044695 93551553 114340787 155919255 343022361 467757765 571703935 1029067083 1715111805 5145335415