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12342939615504 = 24321948112
BaseRepresentation
bin1011001110011101000010…
…0010000000000100010000
31121200222021200110121102100
42303213100202000010100
53104211320020144004
642130133532120400
72412514356443301
oct263472042000420
947628250417370
1012342939615504
113a2967a6a6843
121474189606100
136b6c1b6022b4
143095898967a8
151661051cd739
hexb39d0880110

12342939615504 has 225 divisors, whose sum is σ = 36507148579239. Its totient is φ = 3892964276160.

The previous prime is 12342939615437. The next prime is 12342939615521. The reversal of 12342939615504 is 40551693924321.

The square root of 12342939615504 is 3513252.

It is a perfect power (a square), and thus also a powerful number.

12342939615504 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 29 + 3 + 9 + 61 + 550 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15219407259 + ... + 15219408069.

Almost surely, 212342939615504 is an apocalyptic number.

12342939615504 is the 3513252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12342939615504

12342939615504 is an abundant number, since it is smaller than the sum of its proper divisors (24164208963735).

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

12342939615504 is an frugal number, since it uses more digits than its factorization.

12342939615504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 12342939615504 in words is "twelve trillion, three hundred forty-two billion, nine hundred thirty-nine million, six hundred fifteen thousand, five hundred four".