Search a number
-
+
10604416323672 = 233361804828197
BaseRepresentation
bin1001101001010000100001…
…1101111101000001011000
31101112202212000011210111000
42122110020131331001120
52342220321034324142
634315333540305000
72143100215335453
oct232241035750130
941482760153430
1010604416323672
113419342615996
1212332596a2160
135bbcb8a429b2
14289383b3a49a
15135ca287114c
hex9a50877d058

10604416323672 has 64 divisors (see below), whose sum is σ = 29939608965600. Its totient is φ = 3476857806720.

The previous prime is 10604416323671. The next prime is 10604416323731. The reversal of 10604416323672 is 27632361440601.

10604416323672 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 4 + 4 + 1 + 632 + 3 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×106044163236722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10604416323671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402400923 + ... + 402427274.

Almost surely, 210604416323672 is an apocalyptic number.

10604416323672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10604416323672 is an abundant number, since it is smaller than the sum of its proper divisors (19335192641928).

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

10604416323672 is a wasteful number, since it uses less digits than its factorization.

10604416323672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804828273 (or 804828263 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 10604416323672 in words is "ten trillion, six hundred four billion, four hundred sixteen million, three hundred twenty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 13176 804828197 1609656394 2414484591 3219312788 4828969182 6438625576 7243453773 9657938364 14486907546 19315876728 21730361319 28973815092 43460722638 49094520017 57947630184 86921445276 98189040034 147283560051 173842890552 196378080068 294567120102 392756160136 441850680153 589134240204 883701360306 1178268480408 1325552040459 1767402720612 2651104080918 3534805441224 5302208161836 10604416323672