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5105565660 = 22351343115187
BaseRepresentation
bin1001100000101000…
…01011111111011100
3111011211000121102110
410300110023333130
540424011100120
62202341554020
7240343410036
oct46024137734
914154017373
105105565660
11218aa60058
12ba5a15910
136349a0790
14366100c56
151ed35a2e0
hex13050bfdc

5105565660 has 96 divisors (see below), whose sum is σ = 15431980032. Its totient is φ = 1253756160.

The previous prime is 5105565629. The next prime is 5105565671. The reversal of 5105565660 is 665655015.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328587 + ... + 343773.

It is an arithmetic number, because the mean of its divisors is an integer number (160749792).

Almost surely, 25105565660 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 5105565660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715990016).

5105565660 is an abundant number, since it is smaller than the sum of its proper divisors (10326414372).

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

5105565660 is a wasteful number, since it uses less digits than its factorization.

5105565660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15643 (or 15641 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The square root of 5105565660 is about 71453.2410741458. The cubic root of 5105565660 is about 1721.9265482529.

The spelling of 5105565660 in words is "five billion, one hundred five million, five hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 431 780 862 1293 1724 2155 2586 4310 5172 5603 6465 8620 11206 12930 15187 16809 22412 25860 28015 30374 33618 45561 56030 60748 67236 75935 84045 91122 112060 151870 168090 182244 197431 227805 303740 336180 394862 455610 592293 789724 911220 987155 1184586 1974310 2369172 2961465 3948620 5922930 6545597 11845860 13091194 19636791 26182388 32727985 39273582 65455970 78547164 85092761 98183955 130911940 170185522 196367910 255278283 340371044 392735820 425463805 510556566 850927610 1021113132 1276391415 1701855220 2552782830 5105565660