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2098006440912 = 243323433487649
BaseRepresentation
bin11110100001111010111…
…011011011101111010000
321102120022200020220021000
4132201322323123233100
5233333204122102122
64243451051102000
7304401361335654
oct36417273335720
97376280226230
102098006440912
11739839a39498
1229a736141900
13122ac2043345
1473788c50a64
15398921c80ac
hex1e87aedbbd0

2098006440912 has 160 divisors (see below), whose sum is σ = 6298409376000. Its totient is φ = 667383349248.

The previous prime is 2098006440883. The next prime is 2098006440919. The reversal of 2098006440912 is 2190446008902.

It is a super-2 number, since 2×20980064409122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098006440919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4058464 + ... + 4546112.

It is an arithmetic number, because the mean of its divisors is an integer number (39365058600).

Almost surely, 22098006440912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098006440912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149204688000).

2098006440912 is an abundant number, since it is smaller than the sum of its proper divisors (4200402935088).

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

2098006440912 is a wasteful number, since it uses less digits than its factorization.

2098006440912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488122 (or 488110 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2098006440912 in words is "two trillion, ninety-eight billion, six million, four hundred forty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 433 552 621 828 866 1104 1242 1299 1656 1732 2484 2598 3312 3464 3897 4968 5196 6928 7794 9936 9959 10392 11691 15588 19918 20784 23382 29877 31176 39836 46764 59754 62352 79672 89631 93528 119508 159344 179262 187056 239016 268893 358524 478032 487649 537786 717048 975298 1075572 1434096 1462947 1950596 2151144 2925894 3901192 4302288 4388841 5851788 7802384 8777682 11215927 11703576 13166523 17555364 22431854 23407152 26333046 33647781 35110728 44863708 52666092 67295562 70221456 89727416 100943343 105332184 134591124 179454832 201886686 210664368 211152017 269182248 302830029 403773372 422304034 538364496 605660058 633456051 807546744 844608068 1211320116 1266912102 1615093488 1689216136 1900368153 2422640232 2533824204 3378432272 3800736306 4845280464 4856496391 5067648408 5701104459 7601472612 9712992782 10135296816 11402208918 14569489173 15202945224 19425985564 22804417836 29138978346 30405890448 38851971128 43708467519 45608835672 58277956692 77703942256 87416935038 91217671344 116555913384 131125402557 174833870076 233111826768 262250805114 349667740152 524501610228 699335480304 1049003220456 2098006440912