Search a number
-
+
675107896320 = 210335111323771
BaseRepresentation
bin10011101001011111001…
…00001111110000000000
32101112120102121111212000
421310233210033300000
542030110110140240
61234050145104000
766526542302454
oct11645744176000
92345512544760
10675107896320
11240347897790
12aaa10328000
134b87c3b0400
1424965406664
1512863ae9430
hex9d2f90fc00

675107896320 has 2112 divisors, whose sum is σ = 2951736007680. Its totient is φ = 144919756800.

The previous prime is 675107896301. The next prime is 675107896423. The reversal of 675107896320 is 23698701576.

675107896320 is a `hidden beast` number, since 6 + 7 + 510 + 7 + 8 + 96 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9508561885 + ... + 9508561955.

Almost surely, 2675107896320 is an apocalyptic number.

675107896320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675107896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475868003840).

675107896320 is an abundant number, since it is smaller than the sum of its proper divisors (2276628111360).

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

675107896320 is a wasteful number, since it uses less digits than its factorization.

675107896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 675107896320 in words is "six hundred seventy-five billion, one hundred seven million, eight hundred ninety-six thousand, three hundred twenty".