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8382012417 = 327911789047
BaseRepresentation
bin1111100111001101…
…10101110000000001
3210122011020100102100
413303212311300001
5114131243344132
63503423341013
7414466633662
oct76346656001
923564210370
108382012417
113611477a99
12175b151769
13a3772727c
14597309369
15340d0937c
hex1f39b5c01

8382012417 has 12 divisors (see below), whose sum is σ = 12260609920. Its totient is φ = 5517273528.

The previous prime is 8382012409. The next prime is 8382012437. The reversal of 8382012417 is 7142102838.

8382012417 is a `hidden beast` number, since 8 + 38 + 201 + 2 + 417 = 666.

It is not a de Polignac number, because 8382012417 - 23 = 8382012409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8382012437) 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 11 ways as a sum of consecutive naturals, for example, 5893813 + ... + 5895234.

Almost surely, 28382012417 is an apocalyptic number.

It is an amenable number.

8382012417 is a deficient number, since it is larger than the sum of its proper divisors (3878597503).

8382012417 is a wasteful number, since it uses less digits than its factorization.

8382012417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11789132 (or 11789129 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8382012417 is about 91553.3309989320. The cubic root of 8382012417 is about 2031.3406835260.

The spelling of 8382012417 in words is "eight billion, three hundred eighty-two million, twelve thousand, four hundred seventeen".

Divisors: 1 3 9 79 237 711 11789047 35367141 106101423 931334713 2794004139 8382012417