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13470664394880 = 2732571133199151
BaseRepresentation
bin1100010000000110001000…
…1010101000100010000000
31202200210010202121002120200
43010001202022220202000
53231200410041114010
644352200544005200
72560136423061360
oct304014212504200
952623122532520
1013470664394880
114323970964940
121616856300800
13769380295164
14347dab14a9a0
15185609b7dcc0
hexc40622a8880

13470664394880 has 768 divisors, whose sum is σ = 58017647001600. Its totient is φ = 2797949952000.

The previous prime is 13470664394867. The next prime is 13470664394899. The reversal of 13470664394880 is 8849346607431.

It is a happy number.

13470664394880 is a `hidden beast` number, since 1 + 3 + 470 + 6 + 6 + 43 + 9 + 48 + 80 = 666.

It is a super-3 number, since 3×134706643948803 (a number of 40 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1472038305 + ... + 1472047455.

It is an arithmetic number, because the mean of its divisors is an integer number (75543811200).

Almost surely, 213470664394880 is an apocalyptic number.

13470664394880 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 13470664394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29008823500800).

13470664394880 is an abundant number, since it is smaller than the sum of its proper divisors (44546982606720).

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

13470664394880 is a wasteful number, since it uses less digits than its factorization.

13470664394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 13470664394880 in words is "thirteen trillion, four hundred seventy billion, six hundred sixty-four million, three hundred ninety-four thousand, eight hundred eighty".