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4986579936 = 253135967723
BaseRepresentation
bin1001010010011100…
…10010101111100000
3110212112010111200210
410221032102233200
540203031024221
62142451414120
7234400141632
oct45116225740
913775114623
104986579936
112129881348
12b71bb4340
13616140420
143543aaa52
151e2ba5276
hex129392be0

4986579936 has 96 divisors (see below), whose sum is σ = 14335816320. Its totient is φ = 1508304384.

The previous prime is 4986579919. The next prime is 4986579959. The reversal of 4986579936 is 6399756894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×49865799363 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39771 + ... + 107493.

It is an arithmetic number, because the mean of its divisors is an integer number (149331420).

Almost surely, 24986579936 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 4986579936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167908160).

4986579936 is an abundant number, since it is smaller than the sum of its proper divisors (9349236384).

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

4986579936 is a wasteful number, since it uses less digits than its factorization.

4986579936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67808 (or 67800 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 66.

The square root of 4986579936 is about 70615.7201761761. The cubic root of 4986579936 is about 1708.4447101295. Note that the first 3 decimals are identical.

The spelling of 4986579936 in words is "four billion, nine hundred eighty-six million, five hundred seventy-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 177 208 236 312 354 416 472 624 708 767 944 1248 1416 1534 1888 2301 2832 3068 4602 5664 6136 9204 12272 18408 24544 36816 67723 73632 135446 203169 270892 406338 541784 812676 880399 1083568 1625352 1760798 2167136 2641197 3250704 3521596 3995657 5282394 6501408 7043192 7991314 10564788 11986971 14086384 15982628 21129576 23973942 28172768 31965256 42259152 47947884 51943541 63930512 84518304 95895768 103887082 127861024 155830623 191791536 207774164 311661246 383583072 415548328 623322492 831096656 1246644984 1662193312 2493289968 4986579936