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11891332440 = 2333513846961
BaseRepresentation
bin10110001001100011…
…10101010101011000
31010200201122021111000
423010301311111120
5143323140114230
65243544305000
7600451441461
oct130461652530
933621567430
1011891332440
115052390079
12237a472160
1311767a7ab0
1480b411d68
15498e57b60
hex2c4c75558

11891332440 has 128 divisors (see below), whose sum is σ = 42686884800. Its totient is φ = 2927093760.

The previous prime is 11891332433. The next prime is 11891332441. The reversal of 11891332440 is 4423319811.

11891332440 is a `hidden beast` number, since 1 + 1 + 89 + 133 + 2 + 440 = 666.

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 = 11891332395 and 11891332404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11891332441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409441 + ... + 437520.

Almost surely, 211891332440 is an apocalyptic number.

11891332440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11891332440 is an abundant number, since it is smaller than the sum of its proper divisors (30795552360).

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

11891332440 is a wasteful number, since it uses less digits than its factorization.

11891332440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846994 (or 846984 counting only the distinct ones).

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

The spelling of 11891332440 in words is "eleven billion, eight hundred ninety-one million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 846961 1693922 2540883 3387844 4234805 5081766 6775688 7622649 8469610 10163532 11010493 12704415 15245298 16939220 20327064 22020986 22867947 25408830 30490596 33031479 33878440 38113245 44041972 45735894 50817660 55052465 60981192 66062958 76226490 88083944 91471788 99094437 101635320 110104930 114339735 132125916 152452980 165157395 182943576 198188874 220209860 228679470 264251832 297283311 304905960 330314790 396377748 440419720 457358940 495472185 594566622 660629580 792755496 914717880 990944370 1189133244 1321259160 1486416555 1981888740 2378266488 2972833110 3963777480 5945666220 11891332440