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3898843753401 = 32179236772
BaseRepresentation
bin111000101111000101001…
…100100110101110111001
3111210201121010100221112100
4320233011030212232321
51002334313000102101
612143034252334013
7551452661046222
oct70570514465671
914721533327470
103898843753401
111273543724373
1252b756a74309
132238758a390c
14d69c28dc249
156b6404c8e86
hex38bc5326bb9

3898843753401 has 27 divisors (see below), whose sum is σ = 5664841384111. Its totient is φ = 2584005396144.

The previous prime is 3898843753391. The next prime is 3898843753457. The reversal of 3898843753401 is 1043573488983.

The square root of 3898843753401 is 1974549.

It is a perfect power (a square), and thus also a powerful number.

3898843753401 is a `hidden beast` number, since 3 + 8 + 98 + 8 + 4 + 3 + 7 + 534 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3111854762025 + 786988991376 = 1764045^2 + 887124^2 .

It is not a de Polignac number, because 3898843753401 - 215 = 3898843720633 is a prime.

It is a super-2 number, since 2×38988437534012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3898843754401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1060330975 + ... + 1060334651.

Almost surely, 23898843753401 is an apocalyptic number.

3898843753401 is the 1974549-th square number.

3898843753401 is the 987275-th centered octagonal number.

It is an amenable number.

3898843753401 is a deficient number, since it is larger than the sum of its proper divisors (1765997630710).

3898843753401 is an frugal number, since it uses more digits than its factorization.

3898843753401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3898843753401 in words is "three trillion, eight hundred ninety-eight billion, eight hundred forty-three million, seven hundred fifty-three thousand, four hundred one".

Divisors: 1 3 9 179 537 1611 3677 11031 32041 33093 96123 288369 658183 1974549 5923647 13520329 40560987 117814757 121682961 353444271 1060332813 2420138891 7260416673 21781250019 433204861489 1299614584467 3898843753401