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13347475831404 = 22321113231313072803
BaseRepresentation
bin1100001000111011001110…
…0011100011101001101100
31202021000011112120200021200
43002032303203203221230
53222141112303101104
644215425025325500
72545215615420501
oct302166343435154
952230145520250
1013347475831404
1142866a61588a0
1215b69b6796890
1375a87a614950
143420425554a8
151822e9cd8b39
hexc23b38e3a6c

13347475831404 has 576 divisors, whose sum is σ = 41827756658688. Its totient is φ = 3531165580800.

The previous prime is 13347475831387. The next prime is 13347475831423. The reversal of 13347475831404 is 40413857474331.

It is a happy number.

13347475831404 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 7 + 47 + 583 + 14 + 0 + 4 = 666.

13347475831404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133474758314042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4761852267 + ... + 4761855069.

It is an arithmetic number, because the mean of its divisors is an integer number (72617633088).

Almost surely, 213347475831404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13347475831404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913878329344).

13347475831404 is an abundant number, since it is smaller than the sum of its proper divisors (28480280827284).

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

13347475831404 is a wasteful number, since it uses less digits than its factorization.

13347475831404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 13347475831404 in words is "thirteen trillion, three hundred forty-seven billion, four hundred seventy-five million, eight hundred thirty-one thousand, four hundred four".