Search a number
-
+
47421158400000 = 21337557112
BaseRepresentation
bin10101100100001000110010…
…10011010010000000000000
320012220102022001201110000000
422302010121103102000000
522203422013022300000
6244504551320000000
712663031340456310
oct1262043123220000
9205812261643000
1047421158400000
1114123222716900
12539a656000000
13205ca46bc6628
14b9d2a697b440
155737ee600000
hex2b21194d2000

47421158400000 has 4032 divisors, whose sum is σ = 223326953660160. Its totient is φ = 9853747200000.

The previous prime is 47421158399983. The next prime is 47421158400013. The reversal of 47421158400000 is 485112474.

It is a happy number.

47421158400000 is a `hidden beast` number, since 4 + 74 + 2 + 1 + 1 + 584 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 287 ways as a sum of consecutive naturals, for example, 4311014399995 + ... + 4311014400005.

It is an arithmetic number, because the mean of its divisors is an integer number (55388629380).

Almost surely, 247421158400000 is an apocalyptic number.

47421158400000 is a gapful number since it is divisible by the number (40) 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 47421158400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111663476830080).

47421158400000 is an abundant number, since it is smaller than the sum of its proper divisors (175905795260160).

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

47421158400000 is an frugal number, since it uses more digits than its factorization.

47421158400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 47421158400000 in words is "forty-seven trillion, four hundred twenty-one billion, one hundred fifty-eight million, four hundred thousand".