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4331199264 = 253719339223
BaseRepresentation
bin1000000100010100…
…01101101100100000
3102011211220201102120
410002022031230200
532332241334024
61553440344240
7212221405050
oct40212155440
912154821376
104331199264
111922938127
12a0a615080
13540424302
142d1329560
151a5398479
hex10228db20

4331199264 has 96 divisors (see below), whose sum is σ = 13677511680. Its totient is φ = 1172351232.

The previous prime is 4331199247. The next prime is 4331199331. The reversal of 4331199264 is 4629911334.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156844 + ... + 182379.

It is an arithmetic number, because the mean of its divisors is an integer number (142474080).

Almost surely, 24331199264 is an apocalyptic number.

It is an amenable number.

4331199264 is an abundant number, since it is smaller than the sum of its proper divisors (9346312416).

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

4331199264 is a wasteful number, since it uses less digits than its factorization.

4331199264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339262 (or 339254 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 4331199264 is about 65811.8474440583. The cubic root of 4331199264 is about 1630.0567388382.

The spelling of 4331199264 in words is "four billion, three hundred thirty-one million, one hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 339223 678446 1017669 1356892 2035338 2374561 2713784 4070676 4749122 5427568 6445237 7123683 8141352 9498244 10855136 12890474 14247366 16282704 18996488 19335711 25780948 28494732 32565408 37992976 38671422 45116659 51561896 56989464 75985952 77342844 90233318 103123792 113978928 135349977 154685688 180466636 206247584 227957856 270699954 309371376 360933272 541399908 618742752 721866544 1082799816 1443733088 2165599632 4331199264