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105529280478 = 231723311451053
BaseRepresentation
bin110001001001000001…
…0010000011111011110
3101002101111221220010120
41202102002100133132
53212110443433403
6120251322415410
710424054040516
oct1422202203736
9332344856116
10105529280478
1140833589396
1218551661566
139c4a205a3b
14517153a846
152b2988ee53
hex18920907de

105529280478 has 64 divisors (see below), whose sum is σ = 240712445952. Its totient is φ = 30646218240.

The previous prime is 105529280477. The next prime is 105529280491. The reversal of 105529280478 is 874082925501.

It is a super-2 number, since 2×1055292804782 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 105529280478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105529280473) 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, 652801 + ... + 798252.

It is an arithmetic number, because the mean of its divisors is an integer number (3761131968).

Almost surely, 2105529280478 is an apocalyptic number.

105529280478 is an abundant number, since it is smaller than the sum of its proper divisors (135183165474).

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

105529280478 is a wasteful number, since it uses less digits than its factorization.

105529280478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451129.

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 105529280478 in words is "one hundred five billion, five hundred twenty-nine million, two hundred eighty thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 17 23 31 34 46 51 62 69 93 102 138 186 391 527 713 782 1054 1173 1426 1581 2139 2346 3162 4278 12121 24242 36363 72726 1451053 2902106 4353159 8706318 24667901 33374219 44982643 49335802 66748438 74003703 89965286 100122657 134947929 148007406 200245314 269895858 567361723 764704931 1034600789 1134723446 1529409862 1702085169 2069201578 2294114793 3103802367 3404170338 4588229586 6207604734 17588213413 35176426826 52764640239 105529280478