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13504888272 = 2431367205817
BaseRepresentation
bin11001001001111010…
…00011110111010000
31021212011211101222010
430210331003313100
5210124222411042
610112024342520
7655443441051
oct144475036720
937764741863
1013504888272
115800180497
12274a914a40
131372b78a65
14921834728
1554093359c
hex324f43dd0

13504888272 has 40 divisors (see below), whose sum is σ = 34913318976. Its totient is φ = 4498314496.

The previous prime is 13504888261. The next prime is 13504888283. The reversal of 13504888272 is 27288840531.

13504888272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13504888261) and next prime (13504888283).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37293 + ... + 168524.

Almost surely, 213504888272 is an apocalyptic number.

13504888272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13504888272 is an abundant number, since it is smaller than the sum of its proper divisors (21408430704).

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

13504888272 is a wasteful number, since it uses less digits than its factorization.

13504888272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207195 (or 207189 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 13504888272 in words is "thirteen billion, five hundred four million, eight hundred eighty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1367 2734 4101 5468 8202 10936 16404 21872 32808 65616 205817 411634 617451 823268 1234902 1646536 2469804 3293072 4939608 9879216 281351839 562703678 844055517 1125407356 1688111034 2250814712 3376222068 4501629424 6752444136 13504888272