Search a number
-
+
53560967040 = 273357217612
BaseRepresentation
bin110001111000011110…
…110111111110000000
312010020202102001002000
4301320132313332000
51334143101421130
640334445224000
73604201464600
oct617036677600
9163222361060
1053560967040
1120795851319
12a469562000
135087734509
14284163cc00
1515d72e6260
hexc787b7f80

53560967040 has 1152 divisors, whose sum is σ = 237539109600. Its totient is φ = 11333468160.

The previous prime is 53560967017. The next prime is 53560967063. The reversal of 53560967040 is 4076906535.

53560967040 is a `hidden beast` number, since 5 + 35 + 609 + 6 + 7 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53560967017) and next prime (53560967063).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 878048610 + ... + 878048670.

Almost surely, 253560967040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53560967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118769554800).

53560967040 is an abundant number, since it is smaller than the sum of its proper divisors (183978142560).

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

53560967040 is a wasteful number, since it uses less digits than its factorization.

53560967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 53560967040 in words is "fifty-three billion, five hundred sixty million, nine hundred sixty-seven thousand, forty".