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5387117835 = 351127937571
BaseRepresentation
bin1010000010001100…
…01110010100001011
3111220102210221101210
411001012032110023
542013100232320
62250320344203
7250332513621
oct50106162413
914812727353
105387117835
112314984400
121064175063
1367b10c7b8
14391671511
15217e230e0
hex14118e50b

5387117835 has 48 divisors (see below), whose sum is σ = 9594385920. Its totient is φ = 2578804800.

The previous prime is 5387117833. The next prime is 5387117837.

5387117835 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5387117833) and next prime (5387117837).

It is not a de Polignac number, because 5387117835 - 21 = 5387117833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5387117831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124600 + ... + 162170.

It is an arithmetic number, because the mean of its divisors is an integer number (199883040).

Almost surely, 25387117835 is an apocalyptic number.

5387117835 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5387117835 is a deficient number, since it is larger than the sum of its proper divisors (4207268085).

5387117835 is a wasteful number, since it uses less digits than its factorization.

5387117835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37680 (or 37669 counting only the distinct ones).

The product of its digits is 705600, while the sum is 48.

The square root of 5387117835 is about 73396.9879150364. The cubic root of 5387117835 is about 1753.0144328577.

The spelling of 5387117835 in words is "five billion, three hundred eighty-seven million, one hundred seventeen thousand, eight hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 79 121 165 237 363 395 605 869 1185 1815 2607 4345 9559 13035 28677 37571 47795 112713 143385 187855 413281 563565 1239843 2066405 2968109 4546091 6199215 8904327 13638273 14840545 22730455 32649199 44521635 68191365 97947597 163245995 359141189 489737985 1077423567 1795705945 5387117835