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32407445919056 = 2413211985002189
BaseRepresentation
bin1110101111001011100100…
…10011010101010101010000
311020202010021121220212011212
413113211302103111111100
513221430422123402211
6152531435232155252
76553234502146145
oct727456223252520
9136663247825155
1032407445919056
11a364a143a744a
123774944098b28
131511016b15c00
14800758c743cc
153b2ed31ed38b
hex1d79724d5550

32407445919056 has 30 divisors (see below), whose sum is σ = 67990917423870. Its totient is φ = 14957282730624.

The previous prime is 32407445919019. The next prime is 32407445919113. The reversal of 32407445919056 is 65091954470423.

It can be written as a sum of positive squares in 3 ways, for example, as 1428025000000 + 30979420919056 = 1195000^2 + 5565916^2 .

It is a super-2 number, since 2×324074459190562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32407445918986 and 32407445919004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5992498391 + ... + 5992503798.

It is an arithmetic number, because the mean of its divisors is an integer number (2266363914129).

Almost surely, 232407445919056 is an apocalyptic number.

It is an amenable number.

32407445919056 is an abundant number, since it is smaller than the sum of its proper divisors (35583471504814).

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

32407445919056 is a wasteful number, since it uses less digits than its factorization.

32407445919056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11985002223 (or 11985002204 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 59.

The spelling of 32407445919056 in words is "thirty-two trillion, four hundred seven billion, four hundred forty-five million, nine hundred nineteen thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 11985002189 23970004378 47940008756 95880017512 155805028457 191760035024 311610056914 623220113828 1246440227656 2025465369941 2492880455312 4050930739882 8101861479764 16203722959528 32407445919056