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1641058640 = 245131577941
BaseRepresentation
bin110000111010000…
…1001000101010000
311020100221102020122
41201310021011100
511330102334030
6430501325412
755444524344
oct14164110520
94210842218
101641058640
11772375711
12399706868
13201cb0420
14117d41624
159910e8e5
hex61d09150

1641058640 has 40 divisors (see below), whose sum is σ = 4108960968. Its totient is φ = 605928960.

The previous prime is 1641058613. The next prime is 1641058651. The reversal of 1641058640 is 468501461.

1641058640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 344770624 + 1296288016 = 18568^2 + 36004^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1641058640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787931 + ... + 790010.

Almost surely, 21641058640 is an apocalyptic number.

1641058640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1641058640 is an abundant number, since it is smaller than the sum of its proper divisors (2467902328).

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

1641058640 is a wasteful number, since it uses less digits than its factorization.

1641058640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577967 (or 1577961 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 1641058640 is about 40509.9819797541. The cubic root of 1641058640 is about 1179.5273986017.

The spelling of 1641058640 in words is "one billion, six hundred forty-one million, fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1577941 3155882 6311764 7889705 12623528 15779410 20513233 25247056 31558820 41026466 63117640 82052932 102566165 126235280 164105864 205132330 328211728 410264660 820529320 1641058640