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2664256248 = 233267354983
BaseRepresentation
bin1001111011001101…
…0101001011111000
320212200021020111100
42132303111023320
520424022144443
61120212131400
7123010542633
oct23663251370
96780236440
102664256248
1111479a3175
12624306b60
13335c802b4
141b3baac1a
15108d743d3
hex9ecd52f8

2664256248 has 48 divisors (see below), whose sum is σ = 7226547120. Its totient is φ = 886749696.

The previous prime is 2664256211. The next prime is 2664256249. The reversal of 2664256248 is 8426524662.

2664256248 is a `hidden beast` number, since 2 + 6 + 6 + 42 + 562 + 48 = 666.

It is a super-3 number, since 3×26642562483 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664256249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20965 + ... + 75947.

It is an arithmetic number, because the mean of its divisors is an integer number (150553065).

Almost surely, 22664256248 is an apocalyptic number.

It is an amenable number.

2664256248 is an abundant number, since it is smaller than the sum of its proper divisors (4562290872).

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

2664256248 is a wasteful number, since it uses less digits than its factorization.

2664256248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55668 (or 55661 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 2664256248 is about 51616.4338946425. The cubic root of 2664256248 is about 1386.3046000074.

The spelling of 2664256248 in words is "two billion, six hundred sixty-four million, two hundred fifty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 673 1346 2019 2692 4038 5384 6057 8076 12114 16152 24228 48456 54983 109966 164949 219932 329898 439864 494847 659796 989694 1319592 1979388 3958776 37003559 74007118 111010677 148014236 222021354 296028472 333032031 444042708 666064062 888085416 1332128124 2664256248