Search a number
-
+
133460970786 = 2371113316883
BaseRepresentation
bin111110001001011100…
…1001100110100100010
3110202111010100210000000
41330102321030310202
54141312002031121
6141151111440430
712433200351123
oct1742271146442
9422433323000
10133460970786
1151667269770
1221a47986116
13c77bc27440
146660dc804a
153711b11526
hex1f12e4cd22

133460970786 has 256 divisors, whose sum is σ = 364162498560. Its totient is φ = 36122241600.

The previous prime is 133460970779. The next prime is 133460970803. The reversal of 133460970786 is 687079064331.

133460970786 is a `hidden beast` number, since 1 + 33 + 460 + 9 + 70 + 7 + 86 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19386501 + ... + 19393383.

It is an arithmetic number, because the mean of its divisors is an integer number (1422509760).

Almost surely, 2133460970786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133460970786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182081249280).

133460970786 is an abundant number, since it is smaller than the sum of its proper divisors (230701527774).

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

133460970786 is a wasteful number, since it uses less digits than its factorization.

133460970786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6961 (or 6943 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 133460970786 in words is "one hundred thirty-three billion, four hundred sixty million, nine hundred seventy thousand, seven hundred eighty-six".