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264420046220 = 2251141142720543
BaseRepresentation
bin1111011001000010101…
…0011011010110001100
3221021111212222002210012
43312100222123112030
513313013012434340
6321250051132352
725050401210561
oct3662052332614
9837455862705
10264420046220
11a215a24a420
12432b58a40b8
131bc1c70a815
14cb259ca868
156d28c70565
hex3d90a9b58c

264420046220 has 96 divisors (see below), whose sum is σ = 621002059776. Its totient is φ = 93737254400.

The previous prime is 264420046207. The next prime is 264420046237. The reversal of 264420046220 is 22640024462.

264420046220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12861269 + ... + 12881811.

It is an arithmetic number, because the mean of its divisors is an integer number (6468771456).

Almost surely, 2264420046220 is an apocalyptic number.

264420046220 is a gapful number since it is divisible by the number (20) 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 264420046220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310501029888).

264420046220 is an abundant number, since it is smaller than the sum of its proper divisors (356582013556).

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

264420046220 is a wasteful number, since it uses less digits than its factorization.

264420046220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22031 (or 22029 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 264420046220 in words is "two hundred sixty-four billion, four hundred twenty million, forty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1427 1804 2255 2854 4510 5708 7135 9020 14270 15697 20543 28540 31394 41086 58507 62788 78485 82172 102715 117014 156970 205430 225973 234028 292535 313940 410860 451946 585070 643577 842263 903892 1129865 1170140 1287154 1684526 2259730 2574308 3217885 3369052 4211315 4519460 6435770 8422630 9264893 12871540 16845260 18529786 29314861 37059572 46324465 58629722 92648930 117259444 146574305 185297860 293148610 322463471 586297220 644926942 1201909301 1289853884 1612317355 2403818602 3224634710 4807637204 6009546505 6449269420 12019093010 13221002311 24038186020 26442004622 52884009244 66105011555 132210023110 264420046220