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20430463104 = 273217734777
BaseRepresentation
bin10011000001110000…
…000010000010000000
31221201211112001121200
4103001300002002000
5313320144304404
613215143421200
71322200033242
oct230160020200
957654461550
1020430463104
118734511357
123b62154800
131c07923c2c
14dbb53a092
157e894a839
hex4c1c02080

20430463104 has 48 divisors (see below), whose sum is σ = 58790789070. Its totient is φ = 6810153984.

The previous prime is 20430463093. The next prime is 20430463117. The reversal of 20430463104 is 40136403402.

20430463104 is a `hidden beast` number, since 20 + 4 + 3 + 0 + 4 + 631 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12642753600 + 7787709504 = 112440^2 + 88248^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8866237 + ... + 8868540.

Almost surely, 220430463104 is an apocalyptic number.

20430463104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20430463104 is an abundant number, since it is smaller than the sum of its proper divisors (38360325966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20430463104 is a wasteful number, since it uses less digits than its factorization.

20430463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17734797 (or 17734782 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20430463104 its reverse (40136403402), we get a palindrome (60566866506).

The spelling of 20430463104 in words is "twenty billion, four hundred thirty million, four hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 17734777 35469554 53204331 70939108 106408662 141878216 159612993 212817324 283756432 319225986 425634648 567512864 638451972 851269296 1135025728 1276903944 1702538592 2270051456 2553807888 3405077184 5107615776 6810154368 10215231552 20430463104