Search a number
-
+
66707073404004 = 223111284893933073
BaseRepresentation
bin11110010101011011100110…
…11010100000110001100100
322202012010121122021121202110
433022231303122200301210
532220412041242412004
6353512450110241020
720023266315264345
oct1712556332406144
9282163548247673
1066707073404004
111a289346983290
12759433bab6170
132b2b5b0942177
1412688d50140cc
157aa30daab589
hex3cab736a0c64

66707073404004 has 48 divisors (see below), whose sum is σ = 169801187895360. Its totient is φ = 20214102205440.

The previous prime is 66707073403987. The next prime is 66707073404021. The reversal of 66707073404004 is 40040437070766.

66707073404004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66707073403987) and next prime (66707073404021).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14994012 + ... + 18927084.

It is an arithmetic number, because the mean of its divisors is an integer number (3537524747820).

Almost surely, 266707073404004 is an apocalyptic number.

It is an amenable number.

66707073404004 is an abundant number, since it is smaller than the sum of its proper divisors (103094114491356).

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

66707073404004 is a wasteful number, since it uses less digits than its factorization.

66707073404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061580 (or 4061578 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 48.

The spelling of 66707073404004 in words is "sixty-six trillion, seven hundred seven billion, seventy-three million, four hundred four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 128489 256978 385467 513956 770934 1413379 1541868 2826758 3933073 4240137 5653516 7866146 8480274 11799219 15732292 16960548 23598438 43263803 47196876 86527606 129791409 173055212 259582818 519165636 505356616697 1010713233394 1516069850091 2021426466788 3032139700182 5558922783667 6064279400364 11117845567334 16676768351001 22235691134668 33353536702002 66707073404004