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132415505114219 = 6143120832417923
BaseRepresentation
bin11110000110111001100011…
…001001010010010001101011
3122100211210120020000220212022
4132012321203021102101223
5114323443423302123334
61145342502051335055
736614463441334265
oct3606714311222153
9570753506026768
10132415505114219
1139212111632198
1212a270188b148b
1358b6961829792
14249ad3215cb35
1510496702ac82e
hex786e6325246b

132415505114219 has 16 divisors (see below), whose sum is σ = 134963333650944. Its totient is φ = 129880130983200.

The previous prime is 132415505114197. The next prime is 132415505114273. The reversal of 132415505114219 is 912411505514231.

It is a cyclic number.

It is not a de Polignac number, because 132415505114219 - 216 = 132415505048683 is a prime.

It is a super-2 number, since 2×1324155051142192 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132415505114219.

It is not an unprimeable number, because it can be changed into a prime (132415505114419) by changing a digit.

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, 53555192 + ... + 55973114.

It is an arithmetic number, because the mean of its divisors is an integer number (8435208353184).

Almost surely, 2132415505114219 is an apocalyptic number.

132415505114219 is a deficient number, since it is larger than the sum of its proper divisors (2547828536725).

132415505114219 is a wasteful number, since it uses less digits than its factorization.

132415505114219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420498.

The product of its (nonzero) digits is 216000, while the sum is 44.

The spelling of 132415505114219 in words is "one hundred thirty-two trillion, four hundred fifteen billion, five hundred five million, one hundred fourteen thousand, two hundred nineteen".

Divisors: 1 61 431 2083 26291 127063 897773 2417923 54764153 147493303 1042124813 5036533609 63569613593 307228550149 2170745985479 132415505114219