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5100964064 = 257672831201
BaseRepresentation
bin1001100000000101…
…01000100011100000
3111011111100211012222
410300002220203200
540421321322224
62202055210212
7240256323230
oct46002504340
914144324188
105100964064
1121883a7889
12ba4376968
13633a4c141
14365663cc0
151ecc4bb5e
hex1300a88e0

5100964064 has 96 divisors (see below), whose sum is σ = 11699364096. Its totient is φ = 2144102400.

The previous prime is 5100964051. The next prime is 5100964091. The reversal of 5100964064 is 4604690015.

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, 4246664 + ... + 4247864.

It is an arithmetic number, because the mean of its divisors is an integer number (121868376).

Almost surely, 25100964064 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 5100964064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849682048).

5100964064 is an abundant number, since it is smaller than the sum of its proper divisors (6598400032).

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

5100964064 is a wasteful number, since it uses less digits than its factorization.

5100964064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 5100964064 is about 71421.0337645711. The cubic root of 5100964064 is about 1721.4090742825.

The spelling of 5100964064 in words is "five billion, one hundred million, nine hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 283 469 536 566 938 1072 1132 1201 1876 1981 2144 2264 2402 3752 3962 4528 4804 7504 7924 8407 9056 9608 15008 15848 16814 18961 19216 31696 33628 37922 38432 63392 67256 75844 80467 132727 134512 151688 160934 265454 269024 303376 321868 339883 530908 563269 606752 643736 679766 1061816 1126538 1287472 1359532 2123632 2253076 2379181 2574944 2719064 4247264 4506152 4758362 5438128 9012304 9516724 10876256 18024608 19033448 22772161 38066896 45544322 76133792 91088644 159405127 182177288 318810254 364354576 637620508 728709152 1275241016 2550482032 5100964064