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413681332869 = 3472104228101
BaseRepresentation
bin1100000010100010101…
…01000011001010000101
31110112210011102002110000
412001101111003022011
523234204410122434
6514013110351513
741613260211600
oct6012125031205
91415704362400
10413681332869
1114a494367272
126821105b599
1330018c1488c
1416045207337
15ab62a81b99
hex6051543285

413681332869 has 30 divisors (see below), whose sum is σ = 718861219494. Its totient is φ = 236389330800.

The previous prime is 413681332853. The next prime is 413681332877. The reversal of 413681332869 is 968233186314.

It can be written as a sum of positive squares in only one way, i.e., 358579404225 + 55101928644 = 598815^2 + 234738^2 .

It is not a de Polignac number, because 413681332869 - 24 = 413681332853 is a prime.

It is a super-2 number, since 2×4136813328692 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413681332879) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 52110082 + ... + 52118019.

Almost surely, 2413681332869 is an apocalyptic number.

413681332869 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

413681332869 is a deficient number, since it is larger than the sum of its proper divisors (305179886625).

413681332869 is a wasteful number, since it uses less digits than its factorization.

413681332869 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104228127 (or 104228111 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 413681332869 in words is "four hundred thirteen billion, six hundred eighty-one million, three hundred thirty-two thousand, eight hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 104228101 312684303 729596707 938052909 2188790121 2814158727 5107176949 6566370363 8442476181 15321530847 19699111089 45964592541 59097333267 137893777623 413681332869