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2118189846304 = 257157277217439
BaseRepresentation
bin11110110100101101111…
…101000000111100100000
321111111102021220010102001
4132310231331000330200
5234201023100040204
64301025531333344
7306014501423320
oct36645575007440
97444367803361
102118189846304
11747356a46714
122a26295b1254
1312498a714b7c
1474741639280
153a1740c14a4
hex1ed2df40f20

2118189846304 has 96 divisors (see below), whose sum is σ = 4813620618240. Its totient is φ = 898753010688.

The previous prime is 2118189846293. The next prime is 2118189846317. The reversal of 2118189846304 is 4036489818112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9632817 + ... + 9850255.

It is an arithmetic number, because the mean of its divisors is an integer number (50141881440).

Almost surely, 22118189846304 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 2118189846304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406810309120).

2118189846304 is an abundant number, since it is smaller than the sum of its proper divisors (2695430771936).

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

2118189846304 is a wasteful number, since it uses less digits than its factorization.

2118189846304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217890 (or 217882 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 2118189846304 in words is "two trillion, one hundred eighteen billion, one hundred eighty-nine million, eight hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 157 224 277 314 554 628 1099 1108 1256 1939 2198 2216 2512 3878 4396 4432 5024 7756 8792 8864 15512 17584 31024 35168 43489 62048 86978 173956 217439 304423 347912 434878 608846 695824 869756 1217692 1391648 1522073 1739512 2435384 3044146 3479024 4870768 6088292 6958048 9741536 12176584 24353168 34137923 48706336 60230603 68275846 120461206 136551692 238965461 240922412 273103384 421614221 477930922 481844824 546206768 843228442 955861844 963689648 1092413536 1686456884 1911723688 1927379296 3372913768 3823447376 6745827536 7646894752 9456204671 13491655072 18912409342 37824818684 66193432697 75649637368 132386865394 151299274736 264773730788 302598549472 529547461576 1059094923152 2118189846304