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4663300141272 = 2331725871145371
BaseRepresentation
bin100001111011100001001…
…0110010011000011011000
3121111210210101221002221010
41003313002112103003120
51102400414314010042
613530142430013520
7660624632120013
oct103670226230330
917453711832833
104663300141272
1115387703a3203
126339419472a0
1327a993b14826
141219c248c37a
158148315a59c
hex43dc25930d8

4663300141272 has 96 divisors (see below), whose sum is σ = 12405478317120. Its totient is φ = 1460502520320.

The previous prime is 4663300141271. The next prime is 4663300141303. The reversal of 4663300141272 is 2721410033664.

It is a self number, because there is not a number n which added to its sum of digits gives 4663300141272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663300141271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3498747 + ... + 4644117.

It is an arithmetic number, because the mean of its divisors is an integer number (129223732470).

Almost surely, 24663300141272 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 4663300141272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202739158560).

4663300141272 is an abundant number, since it is smaller than the sum of its proper divisors (7742178175848).

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

4663300141272 is a wasteful number, since it uses less digits than its factorization.

4663300141272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146001 (or 1145980 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 4663300141272 in words is "four trillion, six hundred sixty-three billion, three hundred million, one hundred forty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 587 867 1156 1174 1734 1761 2312 2348 3468 3522 4696 6936 7044 9979 14088 19958 29937 39916 59874 79832 119748 169643 239496 339286 508929 678572 1017858 1145371 1357144 2035716 2290742 3436113 4071432 4581484 6872226 9162968 13744452 19471307 27488904 38942614 58413921 77885228 116827842 155770456 233655684 331012219 467311368 662024438 672332777 993036657 1324048876 1344665554 1986073314 2016998331 2648097752 2689331108 3972146628 4033996662 5378662216 7944293256 8067993324 11429657209 16135986648 22859314418 34288971627 45718628836 68577943254 91437257672 137155886508 194304172553 274311773016 388608345106 582912517659 777216690212 1165825035318 1554433380424 2331650070636 4663300141272