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4677042660 = 22351927115139
BaseRepresentation
bin1000101101100011…
…00000000111100100
3110001221200101101020
410112301200013210
534034310331120
62052033131140
7223621130613
oct42661400744
913057611336
104677042660
111a90083414
12aa63b9ab0
13596c83584
1432523387a
151c5910640
hex116c601e4

4677042660 has 96 divisors (see below), whose sum is σ = 13836748800. Its totient is φ = 1177130880.

The previous prime is 4677042659. The next prime is 4677042697. The reversal of 4677042660 is 662407764.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 301371 + ... + 316509.

It is an arithmetic number, because the mean of its divisors is an integer number (144132800).

Almost surely, 24677042660 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 4677042660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918374400).

4677042660 is an abundant number, since it is smaller than the sum of its proper divisors (9159706140).

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

4677042660 is a wasteful number, since it uses less digits than its factorization.

4677042660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15441 (or 15439 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 4677042660 is about 68388.9074338814. The cubic root of 4677042660 is about 1672.3369173882.

The spelling of 4677042660 in words is "four billion, six hundred seventy-seven million, forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 271 285 380 542 570 813 1084 1140 1355 1626 2710 3252 4065 5149 5420 8130 10298 15139 15447 16260 20596 25745 30278 30894 45417 51490 60556 61788 75695 77235 90834 102980 151390 154470 181668 227085 287641 302780 308940 454170 575282 862923 908340 1150564 1438205 1725846 2876410 3451692 4102669 4314615 5752820 8205338 8629230 12308007 16410676 17258460 20513345 24616014 41026690 49232028 61540035 77950711 82053380 123080070 155901422 233852133 246160140 311802844 389753555 467704266 779507110 935408532 1169260665 1559014220 2338521330 4677042660