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4918083520 = 26576135993
BaseRepresentation
bin1001001010010001…
…11111111111000000
3110200202020112021111
410211020333333000
540033012133040
62132003333104
7232606006630
oct44510777700
913622215244
104918083520
1120a4147a39
12b53081194
13604baa0bc
1434925a6c0
151dbb74dea
hex12523ffc0

4918083520 has 112 divisors (see below), whose sum is σ = 13604004288. Its totient is φ = 1658511360.

The previous prime is 4918083497. The next prime is 4918083539. The reversal of 4918083520 is 253808194.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 118644 + ... + 154636.

It is an arithmetic number, because the mean of its divisors is an integer number (121464324).

Almost surely, 24918083520 is an apocalyptic number.

4918083520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4918083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802002144).

4918083520 is an abundant number, since it is smaller than the sum of its proper divisors (8685920768).

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

4918083520 is a wasteful number, since it uses less digits than its factorization.

4918083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36078 (or 36068 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 4918083520 is about 70129.0490453136. The cubic root of 4918083520 is about 1700.5861323746.

The spelling of 4918083520 in words is "four billion, nine hundred eighteen million, eighty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 140 160 224 244 280 305 320 427 448 488 560 610 854 976 1120 1220 1708 1952 2135 2240 2440 3416 3904 4270 4880 6832 8540 9760 13664 17080 19520 27328 34160 35993 68320 71986 136640 143972 179965 251951 287944 359930 503902 575888 719860 1007804 1151776 1259755 1439720 2015608 2195573 2303552 2519510 2879440 4031216 4391146 5039020 5758880 8062432 8782292 10078040 10977865 11517760 15369011 16124864 17564584 20156080 21955730 30738022 35129168 40312160 43911460 61476044 70258336 76845055 80624320 87822920 122952088 140516672 153690110 175645840 245904176 307380220 351291680 491808352 614760440 702583360 983616704 1229520880 2459041760 4918083520