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3912122268 = 22321947731667
BaseRepresentation
bin1110100100101110…
…0011111110011100
3101002122100101212100
43221023203332130
531003000403033
61444110205100
7165642330165
oct35113437634
911078311770
103912122268
1117283223aa
129121b3790
134a4663762
142917da76c
1517d6b7513
hexe92e3f9c

3912122268 has 144 divisors (see below), whose sum is σ = 10783019520. Its totient is φ = 1191843072.

The previous prime is 3912122267. The next prime is 3912122273. The reversal of 3912122268 is 8622212193.

It is a happy number.

3912122268 is a `hidden beast` number, since 391 + 2 + 1 + 2 + 2 + 268 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3912122261) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2345971 + ... + 2347637.

It is an arithmetic number, because the mean of its divisors is an integer number (74882080).

Almost surely, 23912122268 is an apocalyptic number.

3912122268 is a gapful number since it is divisible by the number (38) 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 3912122268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391509760).

3912122268 is an abundant number, since it is smaller than the sum of its proper divisors (6870897252).

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

3912122268 is a wasteful number, since it uses less digits than its factorization.

3912122268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1811 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 3912122268 is about 62546.9605016902. The cubic root of 3912122268 is about 1575.6901006054.

The spelling of 3912122268 in words is "three billion, nine hundred twelve million, one hundred twenty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 73 76 94 114 141 146 171 188 219 228 282 292 342 423 438 564 657 684 846 876 893 1314 1387 1667 1692 1786 2628 2679 2774 3334 3431 3572 4161 5001 5358 5548 6668 6862 8037 8322 10002 10293 10716 12483 13724 15003 16074 16644 20004 20586 24966 30006 30879 31673 32148 41172 49932 60012 61758 63346 65189 78349 95019 121691 123516 126692 130378 156698 190038 195567 235047 243382 260756 285057 313396 365073 380076 391134 470094 486764 570114 586701 705141 730146 782268 940188 1095219 1140228 1173402 1410282 1460292 1488631 2190438 2312129 2346804 2820564 2977262 4380876 4465893 4624258 5719477 5954524 6936387 8931786 9248516 11438954 13397679 13872774 17158431 17863572 20809161 22877908 26795358 27745548 34316862 41618322 51475293 53590716 68633724 83236644 102950586 108670063 205901172 217340126 326010189 434680252 652020378 978030567 1304040756 1956061134 3912122268