Search a number
-
+
5934080486400 = 21035211194171127
BaseRepresentation
bin101011001011010001011…
…0000100110110000000000
3210000021220021100022001120
41112112202300212300000
51234210444101031100
620342025015032240
71151503021615263
oct126264260466000
923007807308046
105934080486400
1119886a18081a0
127ba09366b680
13340773407751
141672d50bccda
15a455bbea0a0
hex565a2c26c00

5934080486400 has 2112 divisors, whose sum is σ = 23579930787840. Its totient is φ = 1300561920000.

The previous prime is 5934080486387. The next prime is 5934080486401. The reversal of 5934080486400 is 46840804395.

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

It is a super-2 number, since 2×59340804864002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5934080486401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46725043137 + ... + 46725043263.

Almost surely, 25934080486400 is an apocalyptic number.

5934080486400 is a gapful number since it is divisible by the number (50) 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 5934080486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789965393920).

5934080486400 is an abundant number, since it is smaller than the sum of its proper divisors (17645850301440).

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

5934080486400 is a wasteful number, since it uses less digits than its factorization.

5934080486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 5934080486400 in words is "five trillion, nine hundred thirty-four billion, eighty million, four hundred eighty-six thousand, four hundred".