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105534431574 = 231113123000503
BaseRepresentation
bin110001001001001010…
…1111010000101010110
3101002101212122121002220
41202102111322011112
53212113303302244
6120252025043210
710424145603345
oct1422225720526
9332355577086
10105534431574
11408364874a0
1218553326506
139c4b2ba520
1451720bbb5c
152b2a05b319
hex189257a156

105534431574 has 32 divisors (see below), whose sum is σ = 247969016064. Its totient is φ = 29520120480.

The previous prime is 105534431551. The next prime is 105534431591. The reversal of 105534431574 is 475134435501.

It is a happy number.

It is a super-2 number, since 2×1055344315742 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61499394 + ... + 61501109.

It is an arithmetic number, because the mean of its divisors is an integer number (7749031752).

Almost surely, 2105534431574 is an apocalyptic number.

105534431574 is an abundant number, since it is smaller than the sum of its proper divisors (142434584490).

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

105534431574 is a wasteful number, since it uses less digits than its factorization.

105534431574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123000532.

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 105534431574 in words is "one hundred five billion, five hundred thirty-four million, four hundred thirty-one thousand, five hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 123000503 246001006 369001509 738003018 1353005533 1599006539 2706011066 3198013078 4059016599 4797019617 8118033198 9594039234 17589071929 35178143858 52767215787 105534431574