Search a number
-
+
45298471201200 = 24345274712733461
BaseRepresentation
bin10100100110010110111110…
…10010001110100110110000
312221101111021100021010210000
422103023133102032212300
521414132232111414300
6240201455210310000
712353464226130060
oct1223133722164660
9187344240233700
1045298471201200
1113484a79078748
1250b7192428300
131c37820824049
14b28659d253a0
155384b57b4c00
hex2932df48e9b0

45298471201200 has 1200 divisors, whose sum is σ = 191250177490944. Its totient is φ = 10053546854400.

The previous prime is 45298471201189. The next prime is 45298471201201. The reversal of 45298471201200 is 210217489254.

45298471201200 is a `hidden beast` number, since 4 + 52 + 9 + 8 + 471 + 2 + 0 + 120 + 0 = 666.

45298471201200 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 (1200).

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

It is not an unprimeable number, because it can be changed into a prime (45298471201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1353752470 + ... + 1353785930.

Almost surely, 245298471201200 is an apocalyptic number.

45298471201200 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 45298471201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95625088745472).

45298471201200 is an abundant number, since it is smaller than the sum of its proper divisors (145951706289744).

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

45298471201200 is a wasteful number, since it uses less digits than its factorization.

45298471201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33672 (or 33652 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 45298471201200 in words is "forty-five trillion, two hundred ninety-eight billion, four hundred seventy-one million, two hundred one thousand, two hundred".