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13430563396264 = 23722319721135837
BaseRepresentation
bin1100001101110000101111…
…1101011101101010101000
31202112221122001111022000201
43003130023331131222220
53230021243212140024
644321525440241544
72554216611156100
oct303341375355250
952487561438021
1013430563396264
1143089629a3073
12160ab246102b4
1376565c30c701
143460853ac200
1518455e396744
hexc370bf5daa8

13430563396264 has 192 divisors, whose sum is σ = 30868972421760. Its totient is φ = 5451636072960.

The previous prime is 13430563396253. The next prime is 13430563396297. The reversal of 13430563396264 is 46269336503431.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374750154 + ... + 374785990.

It is an arithmetic number, because the mean of its divisors is an integer number (160775898030).

Almost surely, 213430563396264 is an apocalyptic number.

13430563396264 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 13430563396264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434486210880).

13430563396264 is an abundant number, since it is smaller than the sum of its proper divisors (17438409025496).

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

13430563396264 is a wasteful number, since it uses less digits than its factorization.

13430563396264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36288 (or 36277 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 55.

Adding to 13430563396264 its reverse (46269336503431), we get a palindrome (59699899899695).

The spelling of 13430563396264 in words is "thirteen trillion, four hundred thirty billion, five hundred sixty-three million, three hundred ninety-six thousand, two hundred sixty-four".