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106227258676 = 227117911513793
BaseRepresentation
bin110001011101110100…
…0110101010100110100
3101011012011022212012221
41202323220311110310
53220023134234201
6120444454452124
710450260541420
oct1427350652464
9334164285187
10106227258676
1141061577780
1218707364044
13a02b9b7aa6
1451da109b80
152b6acb34a1
hex18bba35534

106227258676 has 96 divisors (see below), whose sum is σ = 234968186880. Its totient is φ = 40817088000.

The previous prime is 106227258617. The next prime is 106227258689. The reversal of 106227258676 is 676852722601.

It is a super-2 number, since 2×1062272586762 (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28004236 + ... + 28008028.

It is an arithmetic number, because the mean of its divisors is an integer number (2447585280).

Almost surely, 2106227258676 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 106227258676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117484093440).

106227258676 is an abundant number, since it is smaller than the sum of its proper divisors (128740928204).

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

106227258676 is a wasteful number, since it uses less digits than its factorization.

106227258676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5045 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 106227258676 in words is "one hundred six billion, two hundred twenty-seven million, two hundred fifty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 79 154 158 308 316 553 869 1106 1151 1738 2212 2302 3476 3793 4604 6083 7586 8057 12166 12661 15172 16114 24332 25322 26551 32228 41723 50644 53102 83446 88627 90929 106204 166892 177254 181858 292061 299647 354508 363716 584122 599294 636503 1000219 1168244 1198588 1273006 2000438 2097529 2546012 3296117 4000876 4195058 4365743 6592234 7001533 8390116 8731486 13184468 14003066 17462972 23072819 28006132 30560201 46145638 48023173 61120402 92291276 96046346 122240804 192092692 336162211 344893697 672324422 689787394 1344648844 1379574788 2414255879 3793830667 4828511758 7587661334 9657023516 15175322668 26556814669 53113629338 106227258676