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13426037470944 = 253573734571447
BaseRepresentation
bin1100001101011111111000…
…1100011011011011100000
31202112111221122011110200000
43003113332030123123200
53224433011043032234
644315500402100000
72553666503350410
oct303277614333340
952474848143600
1013426037470944
114306a5015541a
12160a08094a600
137650ba7597a7
14345b76274640
15184396d86899
hexc35fe31b6e0

13426037470944 has 576 divisors, whose sum is σ = 45502741380096. Its totient is φ = 3814716985344.

The previous prime is 13426037470907. The next prime is 13426037470949. The reversal of 13426037470944 is 44907473062431.

It is a happy number.

13426037470944 is a `hidden beast` number, since 1 + 3 + 4 + 260 + 374 + 7 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×134260374709442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13426037470949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9278532429 + ... + 9278533875.

It is an arithmetic number, because the mean of its divisors is an integer number (78997814896).

Almost surely, 213426037470944 is an apocalyptic number.

13426037470944 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 13426037470944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22751370690048).

13426037470944 is an abundant number, since it is smaller than the sum of its proper divisors (32076703909152).

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

13426037470944 is a wasteful number, since it uses less digits than its factorization.

13426037470944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 13426037470944 in words is "thirteen trillion, four hundred twenty-six billion, thirty-seven million, four hundred seventy thousand, nine hundred forty-four".