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5660911776 = 2531313932633
BaseRepresentation
bin1010100010110101…
…01010100010100000
3112121112000010002010
411101122222202200
543043143134101
62333420552520
7260165645652
oct52132524240
915545003063
105660911776
112445489893
12111b9b2740
136c2a63450
143b9b826d2
15231ea72d6
hex1516aa8a0

5660911776 has 96 divisors (see below), whose sum is σ = 16118585280. Its totient is φ = 1729234944.

The previous prime is 5660911771. The next prime is 5660911783. The reversal of 5660911776 is 6771190665.

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 (48).

It is not an unprimeable number, because it can be changed into a prime (5660911771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157156 + ... + 189788.

It is an arithmetic number, because the mean of its divisors is an integer number (167901930).

Almost surely, 25660911776 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 5660911776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059292640).

5660911776 is an abundant number, since it is smaller than the sum of its proper divisors (10457673504).

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

5660911776 is a wasteful number, since it uses less digits than its factorization.

5660911776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32798 (or 32790 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 5660911776 is about 75239.0309347482. The cubic root of 5660911776 is about 1782.2233480529.

The spelling of 5660911776 in words is "five billion, six hundred sixty million, nine hundred eleven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 139 156 208 278 312 416 417 556 624 834 1112 1248 1668 1807 2224 3336 3614 4448 5421 6672 7228 10842 13344 14456 21684 28912 32633 43368 57824 65266 86736 97899 130532 173472 195798 261064 391596 424229 522128 783192 848458 1044256 1272687 1566384 1696916 2545374 3132768 3393832 4535987 5090748 6787664 9071974 10181496 13575328 13607961 18143948 20362992 27215922 36287896 40725984 54431844 58967831 72575792 108863688 117935662 145151584 176903493 217727376 235871324 353806986 435454752 471742648 707613972 943485296 1415227944 1886970592 2830455888 5660911776