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14905295872 = 21015499397
BaseRepresentation
bin11011110000110110…
…01100010000000000
31102110202221111001021
431320123030100000
5221011223431442
610503012115224
71035236632045
oct157033142000
942422844037
1014905295872
116359718445
122a7b905b14
13153703abcc
14a158111cc
155c3858e67
hex3786cc400

14905295872 has 44 divisors (see below), whose sum is σ = 29818444300. Its totient is φ = 7447044096.

The previous prime is 14905295833. The next prime is 14905295953. The reversal of 14905295872 is 27859250941.

It can be written as a sum of positive squares in 2 ways, for example, as 1722582016 + 13182713856 = 41504^2 + 114816^2 .

It is a super-3 number, since 3×149052958723 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1581478 + ... + 1590874.

Almost surely, 214905295872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14905295872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909222150).

14905295872 is an abundant number, since it is smaller than the sum of its proper divisors (14913148428).

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

14905295872 is an equidigital number, since it uses as much as digits as its factorization.

14905295872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10966 (or 10948 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 14905295872 in words is "fourteen billion, nine hundred five million, two hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1549 3098 6196 9397 12392 18794 24784 37588 49568 75176 99136 150352 198272 300704 396544 601408 793088 1202816 1586176 2405632 4811264 9622528 14555953 29111906 58223812 116447624 232895248 465790496 931580992 1863161984 3726323968 7452647936 14905295872