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13366917432 = 23341121511129
BaseRepresentation
bin11000111001011101…
…01111100100111000
31021111120012202120000
430130232233210320
5204333412324212
610050215233000
7652146631521
oct143456574470
937446182500
1013366917432
11573a304a00
122710678760
1313503cc1cb
1490b39b848
1553377d1dc
hex31cbaf938

13366917432 has 240 divisors, whose sum is σ = 41462005200. Its totient is φ = 4020192000.

The previous prime is 13366917419. The next prime is 13366917433. The reversal of 13366917432 is 23471966331.

Its product of digits (489888) is a multiple of the sum of its prime divisors (1296).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13366917433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11839044 + ... + 11840172.

It is an arithmetic number, because the mean of its divisors is an integer number (172758355).

Almost surely, 213366917432 is an apocalyptic number.

13366917432 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 13366917432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20731002600).

13366917432 is an abundant number, since it is smaller than the sum of its proper divisors (28095087768).

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

13366917432 is a wasteful number, since it uses less digits than its factorization.

13366917432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1296 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The spelling of 13366917432 in words is "thirteen billion, three hundred sixty-six million, nine hundred seventeen thousand, four hundred thirty-two".