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1984232842384 = 2413210322632
BaseRepresentation
bin11100110111111101011…
…111100110010010010000
321000200122121011020212111
4130313331133212102100
5230002202101424014
64115313300035104
7263233065606352
oct34677537462220
97020577136774
101984232842384
116a556578aa11
12280683692a94
1311515cac4100
146c07480d0d2
1536933b7c2c4
hex1cdfd7e6490

1984232842384 has 135 divisors (see below), whose sum is σ = 4219780090617. Its totient is φ = 903460192128.

The previous prime is 1984232842357. The next prime is 1984232842393. The reversal of 1984232842384 is 4832482324891.

The square root of 1984232842384 is 1408628.

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., 293525568400 + 1690707273984 = 541780^2 + 1300272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7544611437 + ... + 7544611699.

Almost surely, 21984232842384 is an apocalyptic number.

1984232842384 is the 1408628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1984232842384

1984232842384 is an abundant number, since it is smaller than the sum of its proper divisors (2235547248233).

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

1984232842384 is an equidigital number, since it uses as much as digits as its factorization.

1984232842384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 381 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 58.

The spelling of 1984232842384 in words is "one trillion, nine hundred eighty-four billion, two hundred thirty-two million, eight hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 103 104 169 206 208 263 338 412 526 676 824 1052 1339 1352 1648 2104 2678 2704 3419 4208 5356 6838 10609 10712 13676 17407 21218 21424 27089 27352 34814 42436 44447 54178 54704 69169 69628 84872 88894 108356 137917 138338 139256 169744 177788 216712 275834 276676 278512 352157 355576 433424 551668 553352 704314 711152 899197 1103336 1106704 1408628 1792921 1798394 2206672 2790167 2817256 3585842 3596788 4578041 5580334 5634512 7124407 7171684 7193576 9156082 11160668 11689561 14248814 14343368 14387152 18312164 22321336 23379122 28497628 28686736 36272171 36624328 44642672 46758244 56995256 72544342 73248656 92617291 93516488 113990512 145088684 185234582 187032976 290177368 370469164 471538223 580354736 733813921 740938328 943076446 1204024783 1467627842 1481876656 1886152892 2408049566 2935255684 3772305784 4816099132 5870511368 7544611568 9539580973 9632198264 11741022736 19079161946 19264396528 38158323892 76316647784 124014552649 152633295568 248029105298 496058210596 992116421192 1984232842384