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13473808320 = 263573172983
BaseRepresentation
bin11001000110001100…
…11111111111000000
31021210000100101021210
430203012133333000
5210043243331240
610104554250120
7654615324000
oct144306377700
937700311253
1013473808320
115794682685
122740426940
1313695b635b
1491b664000
1553cd44780
hex32319ffc0

13473808320 has 896 divisors, whose sum is σ = 55302912000. Its totient is φ = 2764898304.

The previous prime is 13473808307. The next prime is 13473808321. The reversal of 13473808320 is 2380837431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13473808321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162334999 + ... + 162335081.

It is an arithmetic number, because the mean of its divisors is an integer number (61722000).

Almost surely, 213473808320 is an apocalyptic number.

13473808320 is a gapful number since it is divisible by the number (10) 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 13473808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27651456000).

13473808320 is an abundant number, since it is smaller than the sum of its proper divisors (41829103680).

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

13473808320 is a wasteful number, since it uses less digits than its factorization.

13473808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 13473808320 in words is "thirteen billion, four hundred seventy-three million, eight hundred eight thousand, three hundred twenty".