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4947937164 = 223461793169
BaseRepresentation
bin1001001101110101…
…11000011110001100
3110202211102020210000
410212322320132030
540113132442124
62134551244300
7233420525532
oct44672703614
913684366700
104947937164
112109a88475
12b61079690
1360b130591
1434d1cc152
151de5c06c9
hex126eb878c

4947937164 has 120 divisors (see below), whose sum is σ = 13317550400. Its totient is φ = 1601233920.

The previous prime is 4947937039. The next prime is 4947937207. The reversal of 4947937164 is 4617397494.

4947937164 is a `hidden beast` number, since 4 + 9 + 479 + 3 + 7 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4947937164.

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 39 ways as a sum of consecutive naturals, for example, 1559772 + ... + 1562940.

Almost surely, 24947937164 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 4947937164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658775200).

4947937164 is an abundant number, since it is smaller than the sum of its proper divisors (8369613236).

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

4947937164 is a wasteful number, since it uses less digits than its factorization.

4947937164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3314 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 4947937164 is about 70341.5749326101. The cubic root of 4947937164 is about 1704.0201470540.

The spelling of 4947937164 in words is "four billion, nine hundred forty-seven million, nine hundred thirty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 79 81 108 122 158 162 183 237 244 316 324 366 474 549 711 732 948 1098 1422 1647 2133 2196 2844 3169 3294 4266 4819 4941 6338 6399 6588 8532 9507 9638 9882 12676 12798 14457 19014 19276 19764 25596 28521 28914 38028 43371 57042 57828 85563 86742 114084 130113 171126 173484 193309 250351 256689 260226 342252 386618 390339 500702 513378 520452 579927 751053 773236 780678 1001404 1026756 1159854 1502106 1561356 1739781 2253159 2319708 3004212 3479562 4506318 5219343 6759477 6959124 9012636 10438686 13518954 15271411 15658029 20278431 20877372 27037908 30542822 31316058 40556862 45814233 61085644 62632116 81113724 91628466 137442699 183256932 274885398 412328097 549770796 824656194 1236984291 1649312388 2473968582 4947937164