Search a number
-
+
6164605395 = 3251321634973
BaseRepresentation
bin1011011110111000…
…00110100111010011
3120220121210101211100
411233130012213103
5100111114333040
62455412515443
7305523165324
oct55734064723
916817711740
106164605395
112683839303
12124061bb83
1377320c800
14426a1a44b
152612eeb30
hex16f7069d3

6164605395 has 72 divisors (see below), whose sum is σ = 11643815664. Its totient is φ = 3015657216.

The previous prime is 6164605393. The next prime is 6164605427. The reversal of 6164605395 is 5935064616.

6164605395 is a `hidden beast` number, since 6 + 1 + 6 + 4 + 605 + 39 + 5 = 666.

It is not a de Polignac number, because 6164605395 - 21 = 6164605393 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 6164605395.

It is not an unprimeable number, because it can be changed into a prime (6164605393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1237129 + ... + 1242101.

It is an arithmetic number, because the mean of its divisors is an integer number (161719662).

Almost surely, 26164605395 is an apocalyptic number.

6164605395 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6164605395 is a deficient number, since it is larger than the sum of its proper divisors (5479210269).

6164605395 is a wasteful number, since it uses less digits than its factorization.

6164605395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 6164605395 is about 78515.0010825957. The cubic root of 6164605395 is about 1833.5880111395.

The spelling of 6164605395 in words is "six billion, one hundred sixty-four million, six hundred five thousand, three hundred ninety-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 163 169 195 489 507 585 815 845 1467 1521 2119 2445 2535 4973 6357 7335 7605 10595 14919 19071 24865 27547 31785 44757 64649 74595 82641 95355 137735 193947 223785 247923 323245 413205 581841 810599 840437 969735 1239615 2431797 2521311 2909205 4052995 4202185 7295391 7563933 10537787 12158985 12606555 31613361 36476955 37819665 52688935 94840083 136991231 158066805 410973693 474200415 684956155 1232921079 2054868465 6164605395