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2564246061 = 3213194192753
BaseRepresentation
bin1001100011010111…
…0100101000101101
320121201002012022100
42120311310220231
520222421333221
61102240405313
7120354506016
oct23065645055
96551065270
102564246061
1110a64a5023
125b6916839
1331b334c80
141a47b600d
151001bb926
hex98d74a2d

2564246061 has 48 divisors (see below), whose sum is σ = 4210315200. Its totient is φ = 1490835456.

The previous prime is 2564245991. The next prime is 2564246071. The reversal of 2564246061 is 1606424652.

2564246061 is a `hidden beast` number, since 2 + 5 + 6 + 42 + 4 + 606 + 1 = 666.

2564246061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564246061 - 27 = 2564245933 is a prime.

It is a super-2 number, since 2×25642460612 = 13150715722708031442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564246071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930061 + ... + 932813.

It is an arithmetic number, because the mean of its divisors is an integer number (87714900).

Almost surely, 22564246061 is an apocalyptic number.

It is an amenable number.

2564246061 is a deficient number, since it is larger than the sum of its proper divisors (1646069139).

2564246061 is a wasteful number, since it uses less digits than its factorization.

2564246061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2564246061 is about 50638.3852526915. The cubic root of 2564246061 is about 1368.7366585551.

The spelling of 2564246061 in words is "two billion, five hundred sixty-four million, two hundred forty-six thousand, sixty-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 419 741 1257 2223 2753 3771 5447 7961 8259 16341 23883 24777 35789 49023 52307 71649 103493 107367 156921 310479 322101 470763 679991 931437 1153507 2039973 3460521 6119919 10381563 14995591 21916633 44986773 65749899 134960319 197249697 284916229 854748687 2564246061