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1642037740241 = 26331656137657
BaseRepresentation
bin10111111001010001000…
…100111000001011010001
312210222101102200221120112
4113321101010320023101
5203400343130141431
63254201451251105
7226430140333343
oct27712104701321
95728342627515
101642037740241
11583425550978
122262a3149a95
13bbac7207a52
1459691779293
152caa6e35c2b
hex17e511382d1

1642037740241 has 8 divisors (see below), whose sum is σ = 1642804190664. Its totient is φ = 1641271403520.

The previous prime is 1642037740223. The next prime is 1642037740283. The reversal of 1642037740241 is 1420477302461.

It can be written as a sum of positive squares in 4 ways, for example, as 11576899216 + 1630460841025 = 107596^2 + 1276895^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1642037740241 - 222 = 1642033545937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1642037740141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43586285 + ... + 43623941.

It is an arithmetic number, because the mean of its divisors is an integer number (205350523833).

Almost surely, 21642037740241 is an apocalyptic number.

It is an amenable number.

1642037740241 is a deficient number, since it is larger than the sum of its proper divisors (766450423).

1642037740241 is a wasteful number, since it uses less digits than its factorization.

1642037740241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56851.

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 1642037740241 in words is "one trillion, six hundred forty-two billion, thirty-seven million, seven hundred forty thousand, two hundred forty-one".

Divisors: 1 2633 16561 37657 43605113 99150881 623637577 1642037740241