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106526444361 = 317109113169583
BaseRepresentation
bin110001100110101111…
…0001000101101001001
3101011222000022001211020
41203031132020231021
53221131232204421
6120534303223053
710460552560041
oct1431536105511
9334860261736
10106526444361
11411a5445377
121878b5a7a89
13a07898c03c
145227b4a721
152b871b0dc6
hex18cd788b49

106526444361 has 32 divisors (see below), whose sum is σ = 153114001920. Its totient is φ = 65640443904.

The previous prime is 106526444317. The next prime is 106526444383. The reversal of 106526444361 is 163444625601.

It is not a de Polignac number, because 106526444361 - 219 = 106525920073 is a prime.

It is a super-2 number, since 2×1065264443612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106526644361) 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, 543376 + ... + 712958.

It is an arithmetic number, because the mean of its divisors is an integer number (4784812560).

Almost surely, 2106526444361 is an apocalyptic number.

It is an amenable number.

106526444361 is a deficient number, since it is larger than the sum of its proper divisors (46587557559).

106526444361 is a wasteful number, since it uses less digits than its factorization.

106526444361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169825.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 106526444361 in words is "one hundred six billion, five hundred twenty-six million, four hundred forty-four thousand, three hundred sixty-one".

Divisors: 1 3 17 51 109 113 327 339 1853 1921 5559 5763 12317 36951 169583 209389 508749 628167 2882911 8648733 18484547 19162879 55453641 57488637 314237299 325768943 942711897 977306829 2088753811 6266261433 35508814787 106526444361