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1640544542728 = 2374136569957
BaseRepresentation
bin10111110111111000000…
…100110010000000001000
312210211112100222122122221
4113313320010302000020
5203334313400331403
63253353351023424
7226345136350000
oct27677004620010
95724470878587
101640544542728
11582829697543
12225b4706ab74
13bb919a57b20
145958d327000
152ca1acd1dbd
hex17df8132008

1640544542728 has 80 divisors (see below), whose sum is σ = 3864514995180. Its totient is φ = 649006533504.

The previous prime is 1640544542719. The next prime is 1640544542729. The reversal of 1640544542728 is 8272454450461.

It can be written as a sum of positive squares in 2 ways, for example, as 1600928417284 + 39616125444 = 1265278^2 + 199038^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (1640544542729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3035275 + ... + 3534682.

Almost surely, 21640544542728 is an apocalyptic number.

It is an amenable number.

1640544542728 is an abundant number, since it is smaller than the sum of its proper divisors (2223970452452).

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

1640544542728 is an equidigital number, since it uses as much as digits as its factorization.

1640544542728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570004 (or 6569979 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 52.

The spelling of 1640544542728 in words is "one trillion, six hundred forty billion, five hundred forty-four million, five hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 364 392 637 686 728 1274 1372 2401 2548 2744 4459 4802 5096 8918 9604 17836 19208 31213 35672 62426 124852 249704 6569957 13139914 26279828 45989699 52559656 85409441 91979398 170818882 183958796 321927893 341637764 367917592 597866087 643855786 683275528 1195732174 1287711572 2253495251 2391464348 2575423144 4185062609 4506990502 4782928696 8370125218 9013981004 15774466757 16740250436 18027962008 29295438263 31548933514 33480500872 58590876526 63097867028 117181753052 126195734056 205068067841 234363506104 410136135682 820272271364 1640544542728