Search a number
-
+
5109106576 = 247431060861
BaseRepresentation
bin1001100001000011…
…01100011110010000
3111012001200111122111
410300201230132100
540430412402301
62202545515104
7240415455310
oct46041543620
914161614574
105109106576
112191a59432
12ba7042a94
136356403b2
14366783440
151ed809551
hex13086c790

5109106576 has 40 divisors (see below), whose sum is σ = 11576126144. Its totient is φ = 2138693760.

The previous prime is 5109106573. The next prime is 5109106579. The reversal of 5109106576 is 6756019015.

It is an interprime number because it is at equal distance from previous prime (5109106573) and next prime (5109106579).

It is a super-2 number, since 2×51091065762 = 52205940009852887552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5109106571) 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 7 ways as a sum of consecutive naturals, for example, 525615 + ... + 535246.

Almost surely, 25109106576 is an apocalyptic number.

5109106576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5109106576 is an abundant number, since it is smaller than the sum of its proper divisors (6467019568).

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

5109106576 is a wasteful number, since it uses less digits than its factorization.

5109106576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060919 (or 1060913 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 5109106576 is about 71478.0146338719. The cubic root of 5109106576 is about 1722.3245314647.

The spelling of 5109106576 in words is "five billion, one hundred nine million, one hundred six thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 2408 4816 1060861 2121722 4243444 7426027 8486888 14852054 16973776 29704108 45617023 59408216 91234046 118816432 182468092 319319161 364936184 638638322 729872368 1277276644 2554553288 5109106576