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12426216446310 = 2354110102614997
BaseRepresentation
bin1011010011010011010000…
…1101111001100101100110
31121222221020101111221020020
42310310310031321211212
53112042342402240220
642232305223420010
72421523141021422
oct264646415714546
947887211457206
1012426216446310
113a60a24262357
12148834a8b4606
136c1a30596644
1430d6098d9b82
1516837b1c5040
hexb4d34379966

12426216446310 has 32 divisors (see below), whose sum is σ = 30550307753952. Its totient is φ = 3232836798720.

The previous prime is 12426216446297. The next prime is 12426216446311. The reversal of 12426216446310 is 1364461262421.

It is a super-2 number, since 2×124262164463102 (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 (12426216446311) 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, 5051306269 + ... + 5051308728.

It is an arithmetic number, because the mean of its divisors is an integer number (954697117311).

Almost surely, 212426216446310 is an apocalyptic number.

12426216446310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12426216446310 is an abundant number, since it is smaller than the sum of its proper divisors (18124091307642).

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

12426216446310 is a wasteful number, since it uses less digits than its factorization.

12426216446310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102615048.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 12426216446310 in words is "twelve trillion, four hundred twenty-six billion, two hundred sixteen million, four hundred forty-six thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 10102614997 20205229994 30307844991 50513074985 60615689982 101026149970 151539224955 303078449910 414207214877 828414429754 1242621644631 2071036074385 2485243289262 4142072148770 6213108223155 12426216446310