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5051101664 = 257194872437
BaseRepresentation
bin1001011010001000…
…11011000111100000
3111001000112112212102
410231010123013200
540321040223124
62153114345532
7236112440630
oct45504330740
914030475772
105051101664
112162240494
12b8b72b2a8
1362661156b
1435cba46c0
151e869caae
hex12d11b1e0

5051101664 has 96 divisors (see below), whose sum is σ = 11992619520. Its totient is φ = 2045772288.

The previous prime is 5051101633. The next prime is 5051101673. The reversal of 5051101664 is 4661011505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2071454 + ... + 2073890.

It is an arithmetic number, because the mean of its divisors is an integer number (124923120).

Almost surely, 25051101664 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 5051101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996309760).

5051101664 is an abundant number, since it is smaller than the sum of its proper divisors (6941517856).

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

5051101664 is a wasteful number, since it uses less digits than its factorization.

5051101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 5051101664 is about 71071.1028759228. The cubic root of 5051101664 is about 1715.7817201430.

The spelling of 5051101664 in words is "five billion, fifty-one million, one hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 487 532 608 974 1064 1948 2128 2437 3409 3896 4256 4874 6818 7792 9253 9748 13636 15584 17059 18506 19496 27272 34118 37012 38992 46303 54544 64771 68236 74024 77984 92606 109088 129542 136472 148048 185212 259084 272944 296096 324121 370424 518168 545888 648242 740848 1036336 1186819 1296484 1481696 2072672 2373638 2592968 4747276 5185936 8307733 9494552 10371872 16615466 18989104 22549561 33230932 37978208 45099122 66461864 90198244 132923728 157846927 180396488 265847456 315693854 360792976 631387708 721585952 1262775416 2525550832 5051101664