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4985135184 = 2431923210333
BaseRepresentation
bin1001010010010001…
…10010000001010000
3110212102102002212110
410221020302001100
540202143311214
62142400425320
7234351643551
oct45110620120
913772362773
104985135184
112128a84937
12b71618240
13615a55943
14354112328
151e29bc159
hex129232050

4985135184 has 120 divisors (see below), whose sum is σ = 14172460960. Its totient is φ = 1505661696.

The previous prime is 4985135159. The next prime is 4985135219. The reversal of 4985135184 is 4815315894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477282 + ... + 487614.

Almost surely, 24985135184 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 4985135184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086230480).

4985135184 is an abundant number, since it is smaller than the sum of its proper divisors (9187325776).

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

4985135184 is a wasteful number, since it uses less digits than its factorization.

4985135184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10409 (or 10380 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 4985135184 is about 70605.4897582334. The cubic root of 4985135184 is about 1708.2796994168.

The spelling of 4985135184 in words is "four billion, nine hundred eighty-five million, one hundred thirty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 368 437 456 529 552 874 912 1058 1104 1311 1587 1748 2116 2622 3174 3496 4232 5244 6348 6992 8464 10051 10333 10488 12696 20102 20666 20976 25392 30153 30999 40204 41332 60306 61998 80408 82664 120612 123996 160816 165328 196327 237659 241224 247992 392654 475318 482448 495984 588981 712977 785308 950636 1177962 1425954 1570616 1901272 2355924 2851908 3141232 3802544 4515521 4711848 5466157 5703816 9031042 9423696 10932314 11407632 13546563 16398471 18062084 21864628 27093126 32796942 36124168 43729256 54186252 65593884 72248336 87458512 103856983 108372504 131187768 207713966 216745008 262375536 311570949 415427932 623141898 830855864 1246283796 1661711728 2492567592 4985135184