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2353313741537 = 11289696131393
BaseRepresentation
bin100010001111101100011…
…011011111101011100001
322022222022110222120011002
4202033230123133223201
5302024041304212122
65001033012401345
7332010210520253
oct42175433375341
98288273876132
102353313741537
11828042290200
12320108016255
13140bbb8168b5
1481c88477cd3
1541335dea992
hex223ec6dfae1

2353313741537 has 24 divisors (see below), whose sum is σ = 2616223385160. Its totient is φ = 2114966937600.

The previous prime is 2353313741509. The next prime is 2353313741539. The reversal of 2353313741537 is 7351473133532.

It can be written as a sum of positive squares in 4 ways, for example, as 1034769079696 + 1318544661841 = 1017236^2 + 1148279^2 .

It is not a de Polignac number, because 2353313741537 - 26 = 2353313741473 is a prime.

It is a super-2 number, since 2×23533137415372 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2353313741491 and 2353313741500.

It is not an unprimeable number, because it can be changed into a prime (2353313741539) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74947313 + ... + 74978705.

It is an arithmetic number, because the mean of its divisors is an integer number (109009307715).

Almost surely, 22353313741537 is an apocalyptic number.

It is an amenable number.

2353313741537 is a deficient number, since it is larger than the sum of its proper divisors (262909643623).

2353313741537 is a wasteful number, since it uses less digits than its factorization.

2353313741537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38465 (or 38454 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 47.

The spelling of 2353313741537 in words is "two trillion, three hundred fifty-three billion, three hundred thirteen million, seven hundred forty-one thousand, five hundred thirty-seven".

Divisors: 1 11 89 121 979 6961 10769 31393 76571 345323 619529 842281 2793977 3798553 6814819 30733747 74963009 218526673 338071217 2403793403 19448873897 26441727433 213937612867 2353313741537