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404544011982 = 23112643887977
BaseRepresentation
bin1011110001100001011…
…00111011111011001110
31102200012100221002120220
411320300230323323032
523112001231340412
6505502302052210
741140656236235
oct5706054737316
91380170832526
10404544011982
11146625603900
12664a0b7a066
132c1c0b84826
1415819887b1c
15a7ca7cc68c
hex5e30b3bece

404544011982 has 96 divisors (see below), whose sum is σ = 892628142336. Its totient is φ = 122135312640.

The previous prime is 404544011969. The next prime is 404544012029. The reversal of 404544011982 is 289110445404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414067078 + ... + 414068054.

It is an arithmetic number, because the mean of its divisors is an integer number (9298209816).

Almost surely, 2404544011982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404544011982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446314071168).

404544011982 is an abundant number, since it is smaller than the sum of its proper divisors (488084130354).

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

404544011982 is a wasteful number, since it uses less digits than its factorization.

404544011982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 404544011982 in words is "four hundred four billion, five hundred forty-four million, eleven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 643 726 887 977 1286 1774 1929 1954 2661 2931 3858 5322 5862 7073 9757 10747 14146 19514 21219 21494 29271 32241 42438 58542 64482 77803 107327 118217 155606 214654 233409 236434 321981 354651 466818 570341 628211 643962 709302 866599 1140682 1256422 1711023 1733198 1884633 2599797 3422046 3769266 5199594 6273751 6910321 9532589 12547502 13820642 18821253 19065178 20730963 28597767 37642506 41461926 57195534 69011261 76013531 104858479 138022522 152027062 207033783 209716958 228040593 314575437 414067566 456081186 557223157 629150874 1114446314 1671669471 3343338942 6129454727 12258909454 18388364181 36776728362 67424001997 134848003994 202272005991 404544011982