Search a number
-
+
746040311745 = 35614399771901
BaseRepresentation
bin10101101101100110111…
…01111011111111000001
32122022122211110120020020
422312303131323333001
544210342304433440
61330420505004053
7104620401006441
oct12666335737701
92568584416206
10746040311745
11268437341313
12100707483629
1355474a60961
1428173bb6121
1514615edb3d0
hexadb377bfc1

746040311745 has 64 divisors (see below), whose sum is σ = 1217881336320. Its totient is φ = 389869056000.

The previous prime is 746040311743. The next prime is 746040311747. The reversal of 746040311745 is 547113040647.

It is an interprime number because it is at equal distance from previous prime (746040311743) and next prime (746040311747).

It is not a de Polignac number, because 746040311745 - 21 = 746040311743 is a prime.

It is a super-2 number, since 2×7460403117452 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 746040311697 and 746040311706.

It is not an unprimeable number, because it can be changed into a prime (746040311743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392445295 + ... + 392447195.

It is an arithmetic number, because the mean of its divisors is an integer number (19029395880).

Almost surely, 2746040311745 is an apocalyptic number.

It is an amenable number.

746040311745 is a deficient number, since it is larger than the sum of its proper divisors (471841024575).

746040311745 is a wasteful number, since it uses less digits than its factorization.

746040311745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386.

The product of its (nonzero) digits is 282240, while the sum is 42.

It can be divided in two parts, 746040 and 311745, that added together give a triangular number (1057785 = T1454).

The spelling of 746040311745 in words is "seven hundred forty-six billion, forty million, three hundred eleven thousand, seven hundred forty-five".

Divisors: 1 3 5 15 61 183 305 439 915 977 1317 1901 2195 2931 4885 5703 6585 9505 14655 26779 28515 59597 80337 115961 133895 178791 297985 347883 401685 428903 579805 834539 893955 1286709 1739415 1857277 2144515 2503617 4172695 5571831 6433545 9286385 12518085 26163083 27859155 50906879 78489249 113293897 130815415 152720637 254534395 339881691 392446245 566469485 763603185 815344603 1699408455 2446033809 4076723015 12230169045 49736020783 149208062349 248680103915 746040311745