Search a number
-
+
135913408704 = 263378653593
BaseRepresentation
bin111111010010100010…
…0100000100011000000
3110222211001001112101000
41332211010200203000
54211322313034304
6142234320012000
712551026624653
oct1764504404300
9428731045330
10135913408704
1152705637667
1222411161000
13ca80043038
1468149b789a
153807094939
hex1fa51208c0

135913408704 has 56 divisors (see below), whose sum is σ = 399560257520. Its totient is φ = 45304468992.

The previous prime is 135913408693. The next prime is 135913408769. The reversal of 135913408704 is 407804319531.

135913408704 is a `hidden beast` number, since 13 + 591 + 3 + 40 + 8 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135913408704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39325069 + ... + 39328524.

Almost surely, 2135913408704 is an apocalyptic number.

It is an amenable number.

135913408704 is an abundant number, since it is smaller than the sum of its proper divisors (263646848816).

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

135913408704 is an equidigital number, since it uses as much as digits as its factorization.

135913408704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78653614 (or 78653598 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 135913408704 in words is "one hundred thirty-five billion, nine hundred thirteen million, four hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 78653593 157307186 235960779 314614372 471921558 629228744 707882337 943843116 1258457488 1415764674 1887686232 2123647011 2516914976 2831529348 3775372464 4247294022 5033829952 5663058696 7550744928 8494588044 11326117392 15101489856 16989176088 22652234784 33978352176 45304469568 67956704352 135913408704