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11891677212 = 223219233372243
BaseRepresentation
bin10110001001100110…
…01001100000011100
31010200202021210102100
423010303021200130
5143323232132322
65243555525100
7600454405602
oct130463114034
933622253370
1011891677212
1150525a6108
12237a5b9790
1311768989bc
1480b4a1872
15498ec4dac
hex2c4cc981c

11891677212 has 144 divisors (see below), whose sum is σ = 33130056960. Its totient is φ = 3579738624.

The previous prime is 11891677201. The next prime is 11891677243. The reversal of 11891677212 is 21277619811.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5300563 + ... + 5302805.

It is an arithmetic number, because the mean of its divisors is an integer number (230069840).

Almost surely, 211891677212 is an apocalyptic number.

11891677212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11891677212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16565028480).

11891677212 is an abundant number, since it is smaller than the sum of its proper divisors (21238379748).

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

11891677212 is a wasteful number, since it uses less digits than its factorization.

11891677212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2627 counting only the distinct ones).

The product of its digits is 84672, while the sum is 45.

The spelling of 11891677212 in words is "eleven billion, eight hundred ninety-one million, six hundred seventy-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 337 342 414 437 674 684 828 874 1011 1311 1348 1748 2022 2243 2622 3033 3933 4044 4486 5244 6066 6403 6729 7751 7866 8972 12132 12806 13458 15502 15732 19209 20187 23253 25612 26916 31004 38418 40374 42617 46506 51589 57627 69759 76836 80748 85234 93012 103178 115254 127851 139518 147269 154767 170468 206356 230508 255702 279036 294538 309534 383553 441807 464301 511404 589076 619068 755891 767106 883614 928602 980191 1325421 1511782 1534212 1767228 1857204 1960382 2267673 2650842 2940573 3023564 3920764 4535346 5301684 5881146 6803019 8821719 9070692 11762292 13606038 14361929 17385493 17643438 27212076 28723858 34770986 35286876 43085787 52156479 57447716 69541972 86171574 104312958 129257361 156469437 172343148 208625916 258514722 312938874 330324367 517029444 625877748 660648734 990973101 1321297468 1981946202 2972919303 3963892404 5945838606 11891677212