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345468597903 = 321113220648413
BaseRepresentation
bin1010000011011111000…
…10000111011010001111
31020000201022010010021200
411001233202013122033
521130004430113103
6422412303000543
733650014426302
oct5015742073217
91200638103250
10345468597903
11123570020940
1256b54899153
1326767b4b900
1412a13b10b39
158ebe3110a3
hex506f88768f

345468597903 has 36 divisors (see below), whose sum is σ = 589470922872. Its totient is φ = 193269136320.

The previous prime is 345468597899. The next prime is 345468597907. The reversal of 345468597903 is 309795864543.

345468597903 is a `hidden beast` number, since 3 + 4 + 546 + 85 + 9 + 7 + 9 + 0 + 3 = 666.

345468597903 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (345468597899) and next prime (345468597907).

It is not a de Polignac number, because 345468597903 - 22 = 345468597899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345468597907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10307476 + ... + 10340937.

It is an arithmetic number, because the mean of its divisors is an integer number (16374192302).

Almost surely, 2345468597903 is an apocalyptic number.

345468597903 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345468597903 is a deficient number, since it is larger than the sum of its proper divisors (244002324969).

345468597903 is a wasteful number, since it uses less digits than its factorization.

345468597903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20648456 (or 20648440 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 345468597903 in words is "three hundred forty-five billion, four hundred sixty-eight million, five hundred ninety-seven thousand, nine hundred three".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 429 507 1287 1521 1859 5577 16731 20648413 61945239 185835717 227132543 268429369 681397629 805288107 2044192887 2415864321 2952723059 3489581797 8858169177 10468745391 26574507531 31406236173 38385399767 115156199301 345468597903