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2045406411 = 34197118719
BaseRepresentation
bin111100111101010…
…0110110011001011
312021112210102010000
41321322212303023
513142111001121
6534544054043
7101454444666
oct17172466313
95245712100
102045406411
1195a640124
12491004323
132679b4969
141559186dd
15be881526
hex79ea6ccb

2045406411 has 40 divisors (see below), whose sum is σ = 3261772800. Its totient is φ = 1273572720.

The previous prime is 2045406409. The next prime is 2045406431. The reversal of 2045406411 is 1146045402.

2045406411 is a `hidden beast` number, since 204 + 5 + 40 + 6 + 411 = 666.

It is not a de Polignac number, because 2045406411 - 21 = 2045406409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2045406431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99910 + ... + 118628.

It is an arithmetic number, because the mean of its divisors is an integer number (81544320).

Almost surely, 22045406411 is an apocalyptic number.

2045406411 is a deficient number, since it is larger than the sum of its proper divisors (1216366389).

2045406411 is a wasteful number, since it uses less digits than its factorization.

2045406411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18821 (or 18812 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2045406411 is about 45226.1695371165. The cubic root of 2045406411 is about 1269.3845388294.

The spelling of 2045406411 in words is "two billion, forty-five million, four hundred six thousand, four hundred eleven".

Divisors: 1 3 9 19 27 57 71 81 171 213 513 639 1349 1539 1917 4047 5751 12141 18719 36423 56157 109269 168471 355661 505413 1066983 1329049 1516239 3200949 3987147 9602847 11961441 25251931 28808541 35884323 75755793 107652969 227267379 681802137 2045406411