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12349059200070 = 2351627253002647
BaseRepresentation
bin1011001110110011110101…
…0010010111010001000110
31121201120002011112201021120
42303230331102113101012
53104311333123400240
642133025100054410
72413122125162565
oct263547522272106
947646064481246
1012349059200070
113a3122aa8524a
1214753b6b34406
136b76853aab58
143099aa513bdc
15166362588ad0
hexb3b3d497446

12349059200070 has 32 divisors (see below), whose sum is σ = 29655958387968. Its totient is φ = 3291058419168.

The previous prime is 12349059200063. The next prime is 12349059200087. The reversal of 12349059200070 is 7000295094321.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12349059199995 and 12349059200031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126452514 + ... + 126550133.

It is an arithmetic number, because the mean of its divisors is an integer number (926748699624).

Almost surely, 212349059200070 is an apocalyptic number.

12349059200070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12349059200070 is an abundant number, since it is smaller than the sum of its proper divisors (17306899187898).

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

12349059200070 is a wasteful number, since it uses less digits than its factorization.

12349059200070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253004284.

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 12349059200070 in words is "twelve trillion, three hundred forty-nine billion, fifty-nine million, two hundred thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 1627 3254 4881 8135 9762 16270 24405 48810 253002647 506005294 759007941 1265013235 1518015882 2530026470 3795039705 7590079410 411635306669 823270613338 1234905920007 2058176533345 2469811840014 4116353066690 6174529600035 12349059200070