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1106914644 = 22321131372437
BaseRepresentation
bin100000111111010…
…0010110101010100
32212010212002102200
41001332202311110
54231332232034
6301501004500
736300422253
oct10176426524
92763762380
101106914644
115189083a0
1226a853730
131484320a4
14a701c79a
156729ea99
hex41fa2d54

1106914644 has 144 divisors (see below), whose sum is σ = 3237351936. Its totient is φ = 315705600.

The previous prime is 1106914639. The next prime is 1106914649. The reversal of 1106914644 is 4464196011.

1106914644 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 9 + 1 + 4 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (1106914639) and next prime (1106914649).

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

It is a junction number, because it is equal to n+sod(n) for n = 1106914599 and 1106914608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106914649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452994 + ... + 455430.

Almost surely, 21106914644 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 1106914644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618675968).

1106914644 is an abundant number, since it is smaller than the sum of its proper divisors (2130437292).

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

1106914644 is a wasteful number, since it uses less digits than its factorization.

1106914644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2521 counting only the distinct ones).

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

The square root of 1106914644 is about 33270.3267792789. The cubic root of 1106914644 is about 1034.4385837141.

The spelling of 1106914644 in words is "one billion, one hundred six million, nine hundred fourteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 37 44 62 66 74 93 99 111 124 132 148 186 198 222 279 333 341 372 396 407 444 558 666 682 814 1023 1116 1147 1221 1332 1364 1628 2046 2294 2437 2442 3069 3441 3663 4092 4588 4874 4884 6138 6882 7311 7326 9748 10323 12276 12617 13764 14622 14652 20646 21933 25234 26807 29244 37851 41292 43866 50468 53614 75547 75702 80421 87732 90169 107228 113553 151094 151404 160842 180338 226641 227106 241263 270507 302188 321684 360676 453282 454212 482526 541014 679923 811521 831017 906564 965052 991859 1082028 1359846 1623042 1662034 1983718 2493051 2719692 2795239 2975577 3246084 3324068 3967436 4986102 5590478 5951154 7479153 8385717 8926731 9972204 11180956 11902308 14958306 16771434 17853462 25157151 29916612 30747629 33542868 35706924 50314302 61495258 92242887 100628604 122990516 184485774 276728661 368971548 553457322 1106914644