Search a number
-
+
47349969408 = 293273147353
BaseRepresentation
bin101100000110010001…
…110011001000000000
311112012220022200001200
4230012101303020000
51233433043010113
633430254101200
73264243046020
oct540621631000
9145186280050
1047349969408
1119098906925
1292154aa800
134607a307a1
1424127c7a80
151371dd0873
hexb06473200

47349969408 has 240 divisors, whose sum is σ = 161218776576. Its totient is φ = 13091880960.

The previous prime is 47349969391. The next prime is 47349969463. The reversal of 47349969408 is 80496994374.

47349969408 is a `hidden beast` number, since 47 + 3 + 499 + 69 + 40 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 976260 + ... + 1023612.

Almost surely, 247349969408 is an apocalyptic number.

47349969408 is a gapful number since it is divisible by the number (48) 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 47349969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80609388288).

47349969408 is an abundant number, since it is smaller than the sum of its proper divisors (113868807168).

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

47349969408 is a wasteful number, since it uses less digits than its factorization.

47349969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47415 (or 47396 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 47349969408 in words is "forty-seven billion, three hundred forty-nine million, nine hundred sixty-nine thousand, four hundred eight".