Search a number
-
+
59252497920 = 293557111237
BaseRepresentation
bin110111001011101110…
…010101111000000000
312122221102000202200000
4313023232111320000
51432322114413140
643115322400000
74165221631230
oct671356257000
9178842022600
1059252497920
1123146543750
12b597660000
135783928675
142c214b1cc0
15181bceaa30
hexdcbb95e00

59252497920 has 960 divisors, whose sum is σ = 265534004736. Its totient is φ = 12302254080.

The previous prime is 59252497847. The next prime is 59252497939. The reversal of 59252497920 is 2979425295.

59252497920 is a `hidden beast` number, since 5 + 9 + 2 + 524 + 97 + 9 + 20 = 666.

59252497920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 47899542 + ... + 47900778.

Almost surely, 259252497920 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 59252497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132767002368).

59252497920 is an abundant number, since it is smaller than the sum of its proper divisors (206281506816).

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

59252497920 is a wasteful number, since it uses less digits than its factorization.

59252497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 59252497920 in words is "fifty-nine billion, two hundred fifty-two million, four hundred ninety-seven thousand, nine hundred twenty".