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2612147468 = 227231142853
BaseRepresentation
bin1001101110110010…
…0011010100001100
320202001012211200112
42123230203110030
520322202204333
61111111215152
7121505613200
oct23354432414
96661184615
102612147468
111120542067
1260a9774b8
133282370b8
141aacc4b00
151044ce948
hex9bb2350c

2612147468 has 36 divisors (see below), whose sum is σ = 5334808752. Its totient is φ = 1115866080.

The previous prime is 2612147443. The next prime is 2612147471. The reversal of 2612147468 is 8647412162.

It is a super-2 number, since 2×26121474682 = 13646628789157622048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39530 + ... + 82382.

It is an arithmetic number, because the mean of its divisors is an integer number (148189132).

Almost surely, 22612147468 is an apocalyptic number.

2612147468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612147468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667404376).

2612147468 is an abundant number, since it is smaller than the sum of its proper divisors (2722661284).

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

2612147468 is a wasteful number, since it uses less digits than its factorization.

2612147468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43182 (or 43173 counting only the distinct ones).

The product of its digits is 129024, while the sum is 41.

The square root of 2612147468 is about 51109.1720535561. The cubic root of 2612147468 is about 1377.2070284482.

The spelling of 2612147468 in words is "two billion, six hundred twelve million, one hundred forty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 311 622 1244 2177 4354 8708 15239 30478 42853 60956 85706 171412 299971 599942 1199884 2099797 4199594 8399188 13327283 26654566 53309132 93290981 186581962 373163924 653036867 1306073734 2612147468