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13371946224 = 243713173137157
BaseRepresentation
bin11000111010000011…
…11011010011110000
31021111220200020202120
430131001323103300
5204341204234344
610050515114240
7652240444650
oct143501732360
937456606676
1013371946224
11574212a12a
1227122a2980
131351470120
1490bd0a360
15533e23219
hex31d07b4f0

13371946224 has 640 divisors, whose sum is σ = 48028925952. Its totient is φ = 3105423360.

The previous prime is 13371946177. The next prime is 13371946303. The reversal of 13371946224 is 42264917331.

It is a happy number.

13371946224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85171554 + ... + 85171710.

Almost surely, 213371946224 is an apocalyptic number.

13371946224 is a gapful number since it is divisible by the number (14) 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 13371946224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24014462976).

13371946224 is an abundant number, since it is smaller than the sum of its proper divisors (34656979728).

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

13371946224 is a wasteful number, since it uses less digits than its factorization.

13371946224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The spelling of 13371946224 in words is "thirteen billion, three hundred seventy-one million, nine hundred forty-six thousand, two hundred twenty-four".