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12348920435007 = 3133183111228993
BaseRepresentation
bin1011001110110011010100…
…0001000001000100111111
31121201112201111102201101210
42303230311001001010333
53104311042112410012
642133003221535503
72413115521534662
oct263546501010477
947645644381353
1012348920435007
113a31169716a82
121475378574593
136b7662713950
14309995d116d9
151663552c823c
hexb3b3504113f

12348920435007 has 32 divisors (see below), whose sum is σ = 18305993445376. Its totient is φ = 7353304934400.

The previous prime is 12348920435003. The next prime is 12348920435053. The reversal of 12348920435007 is 70053402984321.

It is not a de Polignac number, because 12348920435007 - 22 = 12348920435003 is a prime.

It is a super-2 number, since 2×123489204350072 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12348920435003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9433503 + ... + 10662495.

It is an arithmetic number, because the mean of its divisors is an integer number (572062295168).

Almost surely, 212348920435007 is an apocalyptic number.

12348920435007 is a deficient number, since it is larger than the sum of its proper divisors (5957073010369).

12348920435007 is a wasteful number, since it uses less digits than its factorization.

12348920435007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237351.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 12348920435007 in words is "twelve trillion, three hundred forty-eight billion, nine hundred twenty million, four hundred thirty-five thousand, seven".

Divisors: 1 3 13 31 39 93 403 1209 8311 24933 108043 257641 324129 772923 1228993 3349333 3686979 10047999 15976909 38098783 47930727 114296349 495284179 1485852537 10214160823 30642482469 132784090699 316638985513 398352272097 949916956539 4116306811669 12348920435007