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260624040066 = 232131398012791
BaseRepresentation
bin1111001010111001100…
…1110100000010000010
3220220201100010000021200
43302232121310002002
513232224223240231
6315421245402030
724554335534335
oct3625631640202
9826640100250
10260624040066
11a0591526855
1242616569316
131b766141230
14c8857b861c
156ba5892be6
hex3cae674082

260624040066 has 48 divisors (see below), whose sum is σ = 612497820480. Its totient is φ = 79615081440.

The previous prime is 260624040043. The next prime is 260624040071. The reversal of 260624040066 is 660040426062.

260624040066 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 240 + 400 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 260624040066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3973870 + ... + 4038921.

It is an arithmetic number, because the mean of its divisors is an integer number (12760371260).

Almost surely, 2260624040066 is an apocalyptic number.

260624040066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

260624040066 is an abundant number, since it is smaller than the sum of its proper divisors (351873780414).

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

260624040066 is a wasteful number, since it uses less digits than its factorization.

260624040066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012951 (or 8012948 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 260624040066 in words is "two hundred sixty billion, six hundred twenty-four million, forty thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 139 234 278 417 834 1251 1807 2502 3614 5421 10842 16263 32526 8012791 16025582 24038373 48076746 72115119 104166283 144230238 208332566 312498849 624997698 937496547 1113777949 1874993094 2227555898 3341333847 6682667694 10024001541 14479113337 20048003082 28958226674 43437340011 86874680022 130312020033 260624040066