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1948617541442 = 211213911679907
BaseRepresentation
bin11100010110110010101…
…010000000011101000010
320220021201111200111201102
4130112302222000131002
5223411232042311232
64051103232334402
7260532362545625
oct34266252003502
96807644614642
101948617541442
11691449890200
122757a40a4402
131119a5278240
146a4566d5dbc
1535a4c0aa662
hex1c5b2a80742

1948617541442 has 48 divisors (see below), whose sum is σ = 3463745072256. Its totient is φ = 816703087200.

The previous prime is 1948617541441. The next prime is 1948617541457. The reversal of 1948617541442 is 2441457168491.

It is a happy number.

It is a super-2 number, since 2×19486175414422 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1948617541441) 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 23 ways as a sum of consecutive naturals, for example, 2526053 + ... + 3205959.

It is an arithmetic number, because the mean of its divisors is an integer number (72161355672).

Almost surely, 21948617541442 is an apocalyptic number.

1948617541442 is a deficient number, since it is larger than the sum of its proper divisors (1515127530814).

1948617541442 is a wasteful number, since it uses less digits than its factorization.

1948617541442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680855 (or 680844 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 56.

The spelling of 1948617541442 in words is "one trillion, nine hundred forty-eight billion, six hundred seventeen million, five hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 11 13 22 26 121 143 242 286 911 1573 1822 3146 10021 11843 20042 23686 110231 130273 220462 260546 679907 1359814 1433003 2866006 7478977 8838791 14957954 17677582 82268747 97226701 164537494 194453402 619395277 1069493711 1238790554 2138987422 6813348047 8052138601 13626696094 16104277202 74946828517 88573524611 149893657034 177147049222 974308770721 1948617541442