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13937873472 = 2638191747
BaseRepresentation
bin11001111101100001…
…10001001001000000
31022222100120100000000
430332300301021000
5212021043422342
610223013000000
71002251653425
oct147660611100
938870510000
1013937873472
115a026256a6
12284b923000
131411799013
14963143d4c
1556896044c
hex33ec31240

13937873472 has 252 divisors, whose sum is σ = 43693252720. Its totient is φ = 4398914304.

The previous prime is 13937873461. The next prime is 13937873527. The reversal of 13937873472 is 27437873931.

13937873472 is a `hidden beast` number, since 1 + 3 + 93 + 7 + 87 + 3 + 472 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7977303 + ... + 7979049.

Almost surely, 213937873472 is an apocalyptic number.

13937873472 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 13937873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21846626360).

13937873472 is an abundant number, since it is smaller than the sum of its proper divisors (29755379248).

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

13937873472 is an frugal number, since it uses more digits than its factorization.

13937873472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1771 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The spelling of 13937873472 in words is "thirteen billion, nine hundred thirty-seven million, eight hundred seventy-three thousand, four hundred seventy-two".