Search a number
-
+
47554681658190 = 23572194496475861
BaseRepresentation
bin10101101000000001011111…
…11010000101101101001110
320020101011221112021202020220
422310000233322011231032
522213113442001030230
6245050152534452210
713005466225442400
oct1264005772055516
9206334845252226
1047554681658190
1114174911058a63
1254004ba804066
13206c5059bbc05
14ba5931d3ab70
15577016916d10
hex2b402fe85b4e

47554681658190 has 384 divisors, whose sum is σ = 140304203136000. Its totient is φ = 10256989962240.

The previous prime is 47554681658189. The next prime is 47554681658191. The reversal of 47554681658190 is 9185618645574.

47554681658190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47554681658189) and next prime (47554681658191).

It is a super-2 number, since 2×475546816581902 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47554681658191) 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 191 ways as a sum of consecutive naturals, for example, 8113745860 + ... + 8113751720.

It is an arithmetic number, because the mean of its divisors is an integer number (365375529000).

Almost surely, 247554681658190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47554681658190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70152101568000).

47554681658190 is an abundant number, since it is smaller than the sum of its proper divisors (92749521477810).

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

47554681658190 is a wasteful number, since it uses less digits than its factorization.

47554681658190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 69.

The spelling of 47554681658190 in words is "forty-seven trillion, five hundred fifty-four billion, six hundred eighty-one million, six hundred fifty-eight thousand, one hundred ninety".