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4112908920 = 2333517322013
BaseRepresentation
bin1111010100100110…
…0000001001111000
3101121122011102101000
43311021200021320
531410401041140
61520041525000
7203631102051
oct36511401170
911548142330
104112908920
1118206a238a
129694a3760
13507134b23
142b0345728
15191129a30
hexf5260278

4112908920 has 128 divisors (see below), whose sum is σ = 13789569600. Its totient is φ = 1090386432.

The previous prime is 4112908909. The next prime is 4112908949. The reversal of 4112908920 is 298092114.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175834 + ... + 197846.

Almost surely, 24112908920 is an apocalyptic number.

4112908920 is a gapful number since it is divisible by the number (40) 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 4112908920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894784800).

4112908920 is an abundant number, since it is smaller than the sum of its proper divisors (9676660680).

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

4112908920 is a wasteful number, since it uses less digits than its factorization.

4112908920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22206 (or 22196 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 4112908920 is about 64131.9648849152. The cubic root of 4112908920 is about 1602.1986595927.

The spelling of 4112908920 in words is "four billion, one hundred twelve million, nine hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 173 180 216 270 346 360 519 540 692 865 1038 1080 1384 1557 1730 2076 2595 3114 3460 4152 4671 5190 6228 6920 7785 9342 10380 12456 15570 18684 20760 22013 23355 31140 37368 44026 46710 62280 66039 88052 93420 110065 132078 176104 186840 198117 220130 264156 330195 396234 440260 528312 594351 660390 792468 880520 990585 1188702 1320780 1584936 1981170 2377404 2641560 2971755 3808249 3962340 4754808 5943510 7616498 7924680 11424747 11887020 15232996 19041245 22849494 23774040 30465992 34274241 38082490 45698988 57123735 68548482 76164980 91397976 102822723 114247470 137096964 152329960 171371205 205645446 228494940 274193928 342742410 411290892 456989880 514113615 685484820 822581784 1028227230 1370969640 2056454460 4112908920