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3067680056 = 2371710133181
BaseRepresentation
bin1011011011011001…
…0001010100111000
321220210101021220212
42312312101110320
522240311230211
61224223010252
7136006564430
oct26666212470
97823337825
103067680056
111334697481
12717439988
1339b7200cc
142115c32c0
1512e4b238b
hexb6d91538

3067680056 has 64 divisors (see below), whose sum is σ = 6969343680. Its totient is φ = 1235773440.

The previous prime is 3067679981. The next prime is 3067680061. The reversal of 3067680056 is 6500867603.

3067680056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3067679995 and 3067680022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962786 + ... + 965966.

It is an arithmetic number, because the mean of its divisors is an integer number (108895995).

Almost surely, 23067680056 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 3067680056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484671840).

3067680056 is an abundant number, since it is smaller than the sum of its proper divisors (3901663624).

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

3067680056 is a wasteful number, since it uses less digits than its factorization.

3067680056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 3067680056 is about 55386.6414941365. The cubic root of 3067680056 is about 1453.0147432194.

The spelling of 3067680056 in words is "three billion, sixty-seven million, six hundred eighty thousand, fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 1013 2026 3181 4052 6362 7091 8104 12724 14182 17221 22267 25448 28364 34442 44534 54077 56728 68884 89068 108154 120547 137768 178136 216308 241094 378539 432616 482188 757078 964376 1514156 3028312 3222353 6444706 12889412 22556471 25778824 45112942 54780001 90225884 109560002 180451768 219120004 383460007 438240008 766920014 1533840028 3067680056