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13473940032 = 263373127179
BaseRepresentation
bin11001000110001110…
…00000001001000000
31021210000121001222000
430203013000021000
5210043312040112
610105001144000
7654616413000
oct144307001100
937700531860
1013473940032
115794762633
12274048b000
1313696312a7
1491b69a000
1553cd6d7dc
hex3231c0240

13473940032 has 448 divisors, whose sum is σ = 46817280000. Its totient is φ = 3798047232.

The previous prime is 13473940031. The next prime is 13473940069. The reversal of 13473940032 is 23004937431.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×134739400322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13473940031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75273319 + ... + 75273497.

Almost surely, 213473940032 is an apocalyptic number.

13473940032 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 13473940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408640000).

13473940032 is an abundant number, since it is smaller than the sum of its proper divisors (33343339968).

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

13473940032 is a wasteful number, since it uses less digits than its factorization.

13473940032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13473940032 in words is "thirteen billion, four hundred seventy-three million, nine hundred forty thousand, thirty-two".