Search a number
-
+
60133425408 = 28367191241
BaseRepresentation
bin111000000000001110…
…110100000100000000
312202012210122112000000
4320000032310010000
51441123124103113
643342552000000
74226106453030
oct700016640400
9182183575000
1060133425408
11235588295a1
12b7a2690000
1358942a4b34
142ca64a58c0
15186e30b373
hexe003b4100

60133425408 has 504 divisors, whose sum is σ = 207609701376. Its totient is φ = 17020108800.

The previous prime is 60133425367. The next prime is 60133425419. The reversal of 60133425408 is 80452433106.

60133425408 is a `hidden beast` number, since 60 + 13 + 3 + 42 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 249516168 + ... + 249516408.

Almost surely, 260133425408 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 60133425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103804850688).

60133425408 is an abundant number, since it is smaller than the sum of its proper divisors (147476275968).

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

60133425408 is an equidigital number, since it uses as much as digits as its factorization.

60133425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 60133425408 in words is "sixty billion, one hundred thirty-three million, four hundred twenty-five thousand, four hundred eight".