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1640195067329 = 72136014284317
BaseRepresentation
bin10111110111100011001…
…111101000110111000001
312210210122000101110112122
4113313203033220313001
5203333104414123304
63253254544334025
7226333364016200
oct27674317506701
95723560343478
101640195067329
1158266a3a04a5
12225a6a014315
13bb892526650
1459558b55237
152c9ea29d9be
hex17de33e8dc1

1640195067329 has 24 divisors (see below), whose sum is σ = 2058169229928. Its totient is φ = 1295577158400.

The previous prime is 1640195067293. The next prime is 1640195067397. The reversal of 1640195067329 is 9237605910461.

It can be written as a sum of positive squares in 4 ways, for example, as 76494836929 + 1563700230400 = 276577^2 + 1250480^2 .

It is not a de Polignac number, because 1640195067329 - 228 = 1639926631873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1640195069329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1759322 + ... + 2524995.

It is an arithmetic number, because the mean of its divisors is an integer number (85757051247).

Almost surely, 21640195067329 is an apocalyptic number.

It is an amenable number.

1640195067329 is a deficient number, since it is larger than the sum of its proper divisors (417974162599).

1640195067329 is a wasteful number, since it uses less digits than its factorization.

1640195067329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284945 (or 4284938 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The spelling of 1640195067329 in words is "one trillion, six hundred forty billion, one hundred ninety-five million, sixty-seven thousand, three hundred twenty-nine".

Divisors: 1 7 13 49 91 601 637 4207 7813 29449 54691 382837 4284317 29990219 55696121 209931533 389872847 2574874517 2729109929 18024121619 33473368721 126168851333 234313581047 1640195067329