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4293011664 = 243413923831
BaseRepresentation
bin1111111111100010…
…0010100011010000
3102002012001120220000
43333320202203100
532243002333124
61545554050000
7211245665664
oct37770424320
912065046800
104293011664
111903325227
129b9879900
135355436b6
142ca2288a4
151a1d536c9
hexffe228d0

4293011664 has 100 divisors (see below), whose sum is σ = 12515136480. Its totient is φ = 1420649280.

The previous prime is 4293011651. The next prime is 4293011707. The reversal of 4293011664 is 4661103924.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 168229 + ... + 192059.

Almost surely, 24293011664 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 4293011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257568240).

4293011664 is an abundant number, since it is smaller than the sum of its proper divisors (8222124816).

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

4293011664 is a wasteful number, since it uses less digits than its factorization.

4293011664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23990 (or 23975 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4293011664 is about 65521.0780131096. The cubic root of 4293011664 is about 1625.2519264168.

The spelling of 4293011664 in words is "four billion, two hundred ninety-three million, eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 216 278 324 417 432 556 648 834 1112 1251 1296 1668 2224 2502 3336 3753 5004 6672 7506 10008 11259 15012 20016 22518 23831 30024 45036 47662 60048 71493 90072 95324 142986 180144 190648 214479 285972 381296 428958 571944 643437 857916 1143888 1286874 1715832 1930311 2573748 3312509 3431664 3860622 5147496 6625018 7721244 9937527 10294992 13250036 15442488 19875054 26500072 29812581 30884976 39750108 53000144 59625162 79500216 89437743 119250324 159000432 178875486 238500648 268313229 357750972 477001296 536626458 715501944 1073252916 1431003888 2146505832 4293011664