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106175242734 = 231171113200513
BaseRepresentation
bin110001011100010001…
…0011010000111101110
3101011001112110011202120
41202320202122013232
53214421330231414
6120435355533410
710446056446431
oct1427042320756
9334045404676
10106175242734
114103517a3a0
12186b1a5a266
13a020ca4c22
1451d3249818
152b6643b2a9
hex18b889a1ee

106175242734 has 64 divisors (see below), whose sum is σ = 236997923328. Its totient is φ = 31440281600.

The previous prime is 106175242717. The next prime is 106175242757. The reversal of 106175242734 is 437242571601.

It is a super-2 number, since 2×1061752427342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429262 + ... + 629774.

It is an arithmetic number, because the mean of its divisors is an integer number (3703092552).

Almost surely, 2106175242734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106175242734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118498961664).

106175242734 is an abundant number, since it is smaller than the sum of its proper divisors (130822680594).

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

106175242734 is a wasteful number, since it uses less digits than its factorization.

106175242734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200713.

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

The spelling of 106175242734 in words is "one hundred six billion, one hundred seventy-five million, two hundred forty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 71 113 142 213 226 339 426 678 781 1243 1562 2343 2486 3729 4686 7458 8023 16046 24069 48138 88253 176506 200513 264759 401026 529518 601539 1203078 2205643 4411286 6616929 13233858 14236423 22657969 28472846 42709269 45315938 67973907 85418538 135947814 156600653 249237659 313201306 469801959 498475318 747712977 939603918 1495425954 1608715799 3217431598 4826147397 9652294794 17695873789 35391747578 53087621367 106175242734