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11000742340 = 2257592275867
BaseRepresentation
bin10100011111011001…
…00000000111000100
31001101122211121112111
422033230200013010
5140012142223330
65015332030404
7536415524050
oct121754400704
931348747474
1011000742340
1147356a55a5
122170162404
1310641274c3
14765024c60
15445b8932a
hex28fb201c4

11000742340 has 96 divisors (see below), whose sum is σ = 26972144640. Its totient is φ = 3690793344.

The previous prime is 11000742317. The next prime is 11000742377. The reversal of 11000742340 is 4324700011.

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, 1872087 + ... + 1877953.

It is an arithmetic number, because the mean of its divisors is an integer number (280959840).

Almost surely, 211000742340 is an apocalyptic number.

11000742340 is a gapful number since it is divisible by the number (10) 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 11000742340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13486072320).

11000742340 is an abundant number, since it is smaller than the sum of its proper divisors (15971402300).

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

11000742340 is a wasteful number, since it uses less digits than its factorization.

11000742340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The spelling of 11000742340 in words is "eleven billion, seven hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 227 236 295 413 454 590 826 908 1135 1180 1589 1652 2065 2270 3178 4130 4540 5867 6356 7945 8260 11734 13393 15890 23468 26786 29335 31780 41069 53572 58670 66965 82138 93751 117340 133930 164276 187502 205345 267860 346153 375004 410690 468755 692306 821380 937510 1331809 1384612 1730765 1875020 2423071 2663618 3461530 4846142 5327236 6659045 6923060 9322663 9692284 12115355 13318090 18645326 24230710 26636180 37290652 46613315 48461420 78576731 93226630 157153462 186453260 314306924 392883655 550037117 785767310 1100074234 1571534620 2200148468 2750185585 5500371170 11000742340