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2231650663264 = 2511531091097441
BaseRepresentation
bin100000011110011000101…
…111101011101101100000
321220100021120102211011001
4200132120233223231200
5243030410032211024
64425112310401344
7320142245440201
oct40363057535540
97810246384131
102231650663264
1179048a690830
12300613360254
1313259cc0c659
147a0262db5a8
153d0b4e36244
hex20798bebb60

2231650663264 has 96 divisors (see below), whose sum is σ = 4928216942880. Its totient is φ = 986115686400.

The previous prime is 2231650663247. The next prime is 2231650663301. The reversal of 2231650663264 is 4623660561322.

2231650663264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22316506632643 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1484784 + ... + 2582224.

It is an arithmetic number, because the mean of its divisors is an integer number (51335593155).

Almost surely, 22231650663264 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 2231650663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464108471440).

2231650663264 is an abundant number, since it is smaller than the sum of its proper divisors (2696566279616).

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

2231650663264 is a wasteful number, since it uses less digits than its factorization.

2231650663264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097624 (or 1097616 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 2231650663264 in words is "two trillion, two hundred thirty-one billion, six hundred fifty million, six hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 109 176 212 218 352 424 436 583 848 872 1166 1199 1696 1744 2332 2398 3488 4664 4796 5777 9328 9592 11554 18656 19184 23108 38368 46216 63547 92432 127094 184864 254188 508376 1016752 1097441 2033504 2194882 4389764 8779528 12071851 17559056 24143702 35118112 48287404 58164373 96574808 116328746 119621069 193149616 232657492 239242138 386299232 465314984 478484276 639808103 930629968 956968552 1279616206 1315831759 1861259936 1913937104 2559232412 2631663518 3827874208 5118464824 5263327036 6339916657 10236929648 10526654072 12679833314 20473859296 21053308144 25359666628 42106616288 50719333256 69739083227 101438666512 139478166454 202877333024 278956332908 557912665816 1115825331632 2231650663264