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1740161999104 = 2829228432
BaseRepresentation
bin11001010100101001101…
…111001110000100000000
320011100122212210202201021
4121110221233032010000
5212002322432432404
63411230330515224
7236502556636654
oct31245157160400
96140585722637
101740161999104
11610aa909a991
12241308895b14
13c8134228699
146031d648a64
15303eb655454
hex19529bce100

1740161999104 has 81 divisors (see below), whose sum is σ = 3598699309933. Its totient is φ = 839782716416.

The previous prime is 1740161999099. The next prime is 1740161999111. The reversal of 1740161999104 is 4019991610471.

The square root of 1740161999104 is 1319152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 912498741504 + 827663257600 = 955248^2 + 909760^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 612085107 + ... + 612087949.

Almost surely, 21740161999104 is an apocalyptic number.

1740161999104 is the 1319152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1740161999104

1740161999104 is an abundant number, since it is smaller than the sum of its proper divisors (1858537310829).

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

1740161999104 is an frugal number, since it uses more digits than its factorization.

1740161999104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 52.

The spelling of 1740161999104 in words is "one trillion, seven hundred forty billion, one hundred sixty-one million, nine hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1682 1856 2843 3364 3712 5686 6728 7424 11372 13456 22744 26912 45488 53824 82447 90976 107648 164894 181952 215296 329788 363904 659576 727808 1319152 2390963 2638304 4781926 5276608 8082649 9563852 10553216 16165298 19127704 21106432 32330596 38255408 64661192 76510816 129322384 153021632 234396821 258644768 306043264 468793642 517289536 612086528 937587284 1034579072 1875174568 2069158144 3750349136 6797507809 7500698272 13595015618 15001396544 27190031236 30002793088 54380062472 60005586176 108760124944 217520249888 435040499776 870080999552 1740161999104