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2094460065792 = 21132831369057
BaseRepresentation
bin11110011110100111100…
…011000101100000000000
321102020011112010101011100
4132132213203011200000
5233303423234101132
64242103124014400
7304214446546623
oct36364743054000
97366145111140
102094460065792
1173828a117366
12299b06531400
131226783ba523
147352dc5ddba
1539735baa37c
hex1e7a78c5800

2094460065792 has 144 divisors (see below), whose sum is σ = 6122071420920. Its totient is φ = 689741365248.

The previous prime is 2094460065701. The next prime is 2094460065793. The reversal of 2094460065792 is 2975600644902.

2094460065792 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 4 + 60 + 0 + 6 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2094460065793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 845328 + ... + 2214384.

Almost surely, 22094460065792 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 2094460065792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061035710460).

2094460065792 is an abundant number, since it is smaller than the sum of its proper divisors (4027611355128).

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

2094460065792 is a wasteful number, since it uses less digits than its factorization.

2094460065792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369168 (or 1369145 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2094460065792 in words is "two trillion, ninety-four billion, four hundred sixty million, sixty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1024 1152 1328 1494 1536 1992 2048 2304 2656 2988 3072 3984 4608 5312 5976 6144 7968 9216 10624 11952 15936 18432 21248 23904 31872 42496 47808 63744 84992 95616 127488 169984 191232 254976 382464 509952 764928 1369057 1529856 2738114 4107171 5476228 8214342 10952456 12321513 16428684 21904912 24643026 32857368 43809824 49286052 65714736 87619648 98572104 113631731 131429472 175239296 197144208 227263462 262858944 340895193 350478592 394288416 454526924 525717888 681790386 700957184 788576832 909053848 1022685579 1051435776 1363580772 1401914368 1577153664 1818107696 2045371158 2102871552 2727161544 2803828736 3154307328 3636215392 4090742316 4205743104 5454323088 6308614656 7272430784 8181484632 8411486208 10908646176 12617229312 14544861568 16362969264 21817292352 25234458624 29089723136 32725938528 43634584704 58179446272 65451877056 87269169408 116358892544 130903754112 174538338816 232717785088 261807508224 349076677632 523615016448 698153355264 1047230032896 2094460065792