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4264838816 = 257127197761
BaseRepresentation
bin1111111000110100…
…0100011010100000
3102000020001021000012
43332031010122200
532213244320231
61543110144052
7210454350260
oct37615043240
912006037005
104264838816
111899432587
129b0352028
1352c75b284
142c65b37a0
1519e63ae2b
hexfe3446a0

4264838816 has 96 divisors (see below), whose sum is σ = 9733312512. Its totient is φ = 1801820160.

The previous prime is 4264838813. The next prime is 4264838839. The reversal of 4264838816 is 6188384624.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4264838813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5603876 + ... + 5604636.

It is an arithmetic number, because the mean of its divisors is an integer number (101388672).

Almost surely, 24264838816 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 4264838816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866656256).

4264838816 is an abundant number, since it is smaller than the sum of its proper divisors (5468473696).

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

4264838816 is a wasteful number, since it uses less digits than its factorization.

4264838816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1094 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 50.

The square root of 4264838816 is about 65305.7334083310. The cubic root of 4264838816 is about 1621.6888874671.

The spelling of 4264838816 in words is "four billion, two hundred sixty-four million, eight hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 197 224 254 394 508 761 788 889 1016 1379 1522 1576 1778 2032 2758 3044 3152 3556 4064 5327 5516 6088 6304 7112 10654 11032 12176 14224 21308 22064 24352 25019 28448 42616 44128 50038 85232 96647 100076 149917 170464 175133 193294 200152 299834 350266 386588 400304 599668 676529 700532 773176 800608 1049419 1199336 1353058 1401064 1546352 2098838 2398672 2706116 2802128 3092704 4197676 4797344 5412232 5604256 8395352 10824464 16790704 19039459 21648928 33581408 38078918 76157836 133276213 152315672 266552426 304631344 533104852 609262688 1066209704 2132419408 4264838816