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4660403968 = 28113744729
BaseRepresentation
bin1000101011100100…
…00001111100000000
3110000210101001101101
410111302001330000
534021030411333
62050240344144
7223326531403
oct42562017400
913023331341
104660403968
111a81749530
12aa0915054
135936a90ac
14322d41d3a
151c422567d
hex115c81f00

4660403968 has 72 divisors (see below), whose sum is σ = 10422805680. Its totient is φ = 2061066240.

The previous prime is 4660403947. The next prime is 4660403977. The reversal of 4660403968 is 8693040664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81828 + ... + 126556.

It is an arithmetic number, because the mean of its divisors is an integer number (144761190).

Almost surely, 24660403968 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 4660403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211402840).

4660403968 is an abundant number, since it is smaller than the sum of its proper divisors (5762401712).

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

4660403968 is a wasteful number, since it uses less digits than its factorization.

4660403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44793 (or 44779 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 4660403968 is about 68267.1514566120. The cubic root of 4660403968 is about 1670.3514347580.

The spelling of 4660403968 in words is "four billion, six hundred sixty million, four hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 592 704 814 1184 1408 1628 2368 2816 3256 4736 6512 9472 13024 26048 44729 52096 89458 104192 178916 357832 492019 715664 984038 1431328 1654973 1968076 2862656 3309946 3936152 5725312 6619892 7872304 11450624 13239784 15744608 18204703 26479568 31489216 36409406 52959136 62978432 72818812 105918272 125956864 145637624 211836544 291275248 423673088 582550496 1165100992 2330201984 4660403968