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5130774672 = 2437113910831
BaseRepresentation
bin1001100011101000…
…10110100010010000
3111020120110100200120
410301310112202100
541001434242142
62205042150240
7241100602512
oct46164264220
914216410616
105130774672
1121a3208a51
12bb2352380
13639c88b5a
143695c3bb2
152006897ec
hex131d16890

5130774672 has 80 divisors (see below), whose sum is σ = 13539133440. Its totient is φ = 1673884800.

The previous prime is 5130774631. The next prime is 5130774673. The reversal of 5130774672 is 2764770315.

It is not an unprimeable number, because it can be changed into a prime (5130774673) 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, 468297 + ... + 479127.

It is an arithmetic number, because the mean of its divisors is an integer number (169239168).

Almost surely, 25130774672 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 5130774672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769566720).

5130774672 is an abundant number, since it is smaller than the sum of its proper divisors (8408358768).

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

5130774672 is a wasteful number, since it uses less digits than its factorization.

5130774672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11052 (or 11046 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 5130774672 is about 71629.4260203165. The cubic root of 5130774672 is about 1724.7559323666.

The spelling of 5130774672 in words is "five billion, one hundred thirty million, seven hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 139 142 213 278 284 417 426 556 568 834 852 1112 1136 1668 1704 2224 3336 3408 6672 9869 10831 19738 21662 29607 32493 39476 43324 59214 64986 78952 86648 118428 129972 157904 173296 236856 259944 473712 519888 769001 1505509 1538002 2307003 3011018 3076004 4516527 4614006 6022036 6152008 9033054 9228012 12044072 12304016 18066108 18456024 24088144 36132216 36912048 72264432 106891139 213782278 320673417 427564556 641346834 855129112 1282693668 1710258224 2565387336 5130774672