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13472789373792 = 25327193115772269
BaseRepresentation
bin1100010000001110000011…
…0100110010001101100000
31202200222121212010012122100
43010003200310302031200
53231214233034430132
644353151453410400
72560243165102230
oct304034064621540
952628555105570
1013472789373792
114324861403a61
121617149a99a00
1376962b5ba728
1434812d459cc0
151856d14cc37c
hexc40e0d32360

13472789373792 has 576 divisors, whose sum is σ = 47881638604800. Its totient is φ = 3506605240320.

The previous prime is 13472789373781. The next prime is 13472789373803. The reversal of 13472789373792 is 29737398727431.

13472789373792 is a `hidden beast` number, since 1 + 3 + 472 + 7 + 8 + 9 + 37 + 37 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (13472789373781) and next prime (13472789373803).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13472789373792.

It is a congruent number.

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, 186389434 + ... + 186461702.

It is an arithmetic number, because the mean of its divisors is an integer number (83127844800).

Almost surely, 213472789373792 is an apocalyptic number.

13472789373792 is a gapful number since it is divisible by the number (12) 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 13472789373792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23940819302400).

13472789373792 is an abundant number, since it is smaller than the sum of its proper divisors (34408849231008).

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

13472789373792 is a wasteful number, since it uses less digits than its factorization.

13472789373792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72499 (or 72488 counting only the distinct ones).

The product of its digits is 672126336, while the sum is 72.

The spelling of 13472789373792 in words is "thirteen trillion, four hundred seventy-two billion, seven hundred eighty-nine million, three hundred seventy-three thousand, seven hundred ninety-two".