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413400790047 = 3779402761879
BaseRepresentation
bin1100000010000001001…
…10110111010000011111
31110112001121112001001010
412001000212313100133
523233121100240142
6513525205350303
741603312510520
oct6010046672037
91415047461033
10413400790047
1114a35aa722a3
1268153108393
132cca2a6a0cb
1416019c5a847
15ab48117e9c
hex60409b741f

413400790047 has 32 divisors (see below), whose sum is σ = 638086758400. Its totient is φ = 233177095008.

The previous prime is 413400790043. The next prime is 413400790051. The reversal of 413400790047 is 740097004314.

It is an interprime number because it is at equal distance from previous prime (413400790043) and next prime (413400790051).

It is not a de Polignac number, because 413400790047 - 22 = 413400790043 is a prime.

It is a super-2 number, since 2×4134007900472 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413400789987 and 413400790014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413400790043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6649854 + ... + 6711732.

It is an arithmetic number, because the mean of its divisors is an integer number (19940211200).

Almost surely, 2413400790047 is an apocalyptic number.

413400790047 is a deficient number, since it is larger than the sum of its proper divisors (224685968353).

413400790047 is a wasteful number, since it uses less digits than its factorization.

413400790047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65995.

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 413400790047 in words is "four hundred thirteen billion, four hundred million, seven hundred ninety thousand, forty-seven".

Divisors: 1 3 7 21 79 237 553 1659 4027 12081 28189 61879 84567 185637 318133 433153 954399 1299459 2226931 4888441 6680793 14665323 34219087 102657261 249186733 747560199 1744307131 5232921393 19685751907 59057255721 137800263349 413400790047