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13872572224 = 26756355001
BaseRepresentation
bin11001110101101111…
…01010011101000000
31022210210200200112021
430322313222131000
5211402334302344
610212321211224
71000526626660
oct147267523500
938723620467
1013872572224
115979783925
122831a90b14
1314010b4124
149585c61a0
15562d61b84
hex33adea740

13872572224 has 56 divisors (see below), whose sum is σ = 31517466048. Its totient is φ = 5934720000.

The previous prime is 13872572183. The next prime is 13872572227. The reversal of 13872572224 is 42227527831.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×138725722242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13872572227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224724 + ... + 279724.

Almost surely, 213872572224 is an apocalyptic number.

13872572224 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 13872572224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15758733024).

13872572224 is an abundant number, since it is smaller than the sum of its proper divisors (17644893824).

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

13872572224 is an equidigital number, since it uses as much as digits as its factorization.

13872572224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55583 (or 55573 counting only the distinct ones).

The product of its digits is 376320, while the sum is 43.

The spelling of 13872572224 in words is "thirteen billion, eight hundred seventy-two million, five hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 563 1126 2252 3941 4504 7882 9008 15764 18016 31528 36032 55001 63056 110002 126112 220004 252224 385007 440008 770014 880016 1540028 1760032 3080056 3520064 6160112 12320224 24640448 30965563 61931126 123862252 216758941 247724504 433517882 495449008 867035764 990898016 1734071528 1981796032 3468143056 6936286112 13872572224