Search a number
-
+
46469051758080 = 293357307312841
BaseRepresentation
bin10101001000011011010110…
…10100101011011000000000
320002112101202010002200201000
422210031223110223120000
522042322104222224310
6242455330534212000
712534164264523660
oct1244155324533000
9202471663080630
1046469051758080
11138964612a9786
12526601b4b4000
131cc10220c5733
14b6918516a1a0
15558b778034c0
hex2a436b52b600

46469051758080 has 640 divisors, whose sum is σ = 189257296757760. Its totient is φ = 10586865991680.

The previous prime is 46469051758027. The next prime is 46469051758109. The reversal of 46469051758080 is 8085715096464.

46469051758080 is a `hidden beast` number, since 4 + 6 + 4 + 69 + 0 + 517 + 58 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 46469051757999 and 46469051758017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148382460 + ... + 148695300.

It is an arithmetic number, because the mean of its divisors is an integer number (295714526184).

Almost surely, 246469051758080 is an apocalyptic number.

46469051758080 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 46469051758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94628648378880).

46469051758080 is an abundant number, since it is smaller than the sum of its proper divisors (142788244999680).

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

46469051758080 is a wasteful number, since it uses less digits than its factorization.

46469051758080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313187 (or 313165 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 46469051758080 in words is "forty-six trillion, four hundred sixty-nine billion, fifty-one million, seven hundred fifty-eight thousand, eighty".