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13420200072 = 2333171763959
BaseRepresentation
bin11000111111110100…
…00000000010001000
31021122021110210121010
430133322000002020
5204441032400242
610055401243520
7653364550506
oct143772000210
937567423533
1013420200072
115767397a44
1227264935a0
13135b4667b6
149144ab676
155382a589c
hex31fe80088

13420200072 has 32 divisors (see below), whose sum is σ = 33656356800. Its totient is φ = 4459285824.

The previous prime is 13420200067. The next prime is 13420200077. The reversal of 13420200072 is 27000202431.

It is an interprime number because it is at equal distance from previous prime (13420200067) and next prime (13420200077).

It is not an unprimeable number, because it can be changed into a prime (13420200077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874372 + ... + 889587.

It is an arithmetic number, because the mean of its divisors is an integer number (1051761150).

Almost surely, 213420200072 is an apocalyptic number.

13420200072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13420200072 is an abundant number, since it is smaller than the sum of its proper divisors (20236156728).

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

13420200072 is a wasteful number, since it uses less digits than its factorization.

13420200072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764285 (or 1764281 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The spelling of 13420200072 in words is "thirteen billion, four hundred twenty million, two hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 317 634 951 1268 1902 2536 3804 7608 1763959 3527918 5291877 7055836 10583754 14111672 21167508 42335016 559175003 1118350006 1677525009 2236700012 3355050018 4473400024 6710100036 13420200072