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1375833168348 = 2231731337645571
BaseRepresentation
bin10100000001010110000…
…011000001100111011100
311212112021011211112202220
4110001112003001213130
5140020201242341343
62532014331345340
7201254266654632
oct24012603014734
94775234745686
101375833168348
1149053aa56a51
121a278b8b2250
139c981b976a2
144a83ab83352
1525bc66b7183
hex140560c19dc

1375833168348 has 96 divisors (see below), whose sum is σ = 3519183403008. Its totient is φ = 416470118400.

The previous prime is 1375833168343. The next prime is 1375833168371. The reversal of 1375833168348 is 8438613385731.

It is a happy number.

It is a super-2 number, since 2×13758331683482 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1375833168291 and 1375833168300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375833168343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1808403 + ... + 2453973.

It is an arithmetic number, because the mean of its divisors is an integer number (36658160448).

Almost surely, 21375833168348 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 1375833168348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759591701504).

1375833168348 is an abundant number, since it is smaller than the sum of its proper divisors (2143350234660).

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

1375833168348 is a wasteful number, since it uses less digits than its factorization.

1375833168348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645963 (or 645961 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The spelling of 1375833168348 in words is "one trillion, three hundred seventy-five billion, eight hundred thirty-three million, one hundred sixty-eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 337 372 527 674 1011 1054 1348 1581 2022 2108 3162 4044 5729 6324 10447 11458 17187 20894 22916 31341 34374 41788 62682 68748 125364 177599 355198 532797 645571 710396 1065594 1291142 1936713 2131188 2582284 3873426 7746852 10974707 20012701 21949414 32924121 40025402 43898828 60038103 65848242 80050804 120076206 131696484 217557427 240152412 340215917 435114854 652672281 680431834 870229708 1020647751 1305344562 1360863668 2041295502 2610689124 3698476259 4082591004 6744280237 7396952518 11095428777 13488560474 14793905036 20232840711 22190857554 26977120948 40465681422 44381715108 80931362844 114652764029 229305528058 343958292087 458611056116 687916584174 1375833168348