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3127670676 = 22321317393121
BaseRepresentation
bin1011101001101100…
…0111011110010100
322001222021010120200
42322123013132110
522401140430201
61234204500500
7140335522254
oct27233073624
98058233520
103127670676
1113655412a9
1273354a730
133aac95a10
1421955b964
151348b2386
hexba6c7794

3127670676 has 72 divisors (see below), whose sum is σ = 9015073704. Its totient is φ = 905748480.

The previous prime is 3127670671. The next prime is 3127670699. The reversal of 3127670676 is 6760767213.

It can be written as a sum of positive squares in 4 ways, for example, as 230432400 + 2897238276 = 15180^2 + 53826^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3127670671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188605 + ... + 204516.

It is an arithmetic number, because the mean of its divisors is an integer number (125209357).

Almost surely, 23127670676 is an apocalyptic number.

3127670676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3127670676 is an abundant number, since it is smaller than the sum of its proper divisors (5887403028).

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

3127670676 is a wasteful number, since it uses less digits than its factorization.

3127670676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393161 (or 393156 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 3127670676 is about 55925.5815883930. The cubic root of 3127670676 is about 1462.4252360641.

The spelling of 3127670676 in words is "three billion, one hundred twenty-seven million, six hundred seventy thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 393121 786242 1179363 1572484 2358726 3538089 4717452 5110573 6683057 7076178 10221146 13366114 14152356 15331719 20049171 20442292 26732228 30663438 40098342 45995157 60147513 61326876 80196684 86879741 91990314 120295026 173759482 183980628 240590052 260639223 347518964 521278446 781917669 1042556892 1563835338 3127670676