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11035801840 = 245772727107
BaseRepresentation
bin10100100011100100…
…01111100011110000
31001111002210211010111
422101302033203300
5140100131124330
65023023311104
7540322524250
oct122162174360
931432724114
1011035801840
114753471298
12217ba4b494
13106b48137b
1476994d960
15448cb232a
hex291c8f8f0

11035801840 has 80 divisors (see below), whose sum is σ = 29365120512. Its totient is φ = 3778359552.

The previous prime is 11035801823. The next prime is 11035801849. The reversal of 11035801840 is 4810853011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11035801849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393567 + ... + 420673.

Almost surely, 211035801840 is an apocalyptic number.

11035801840 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 11035801840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682560256).

11035801840 is an abundant number, since it is smaller than the sum of its proper divisors (18329318672).

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

11035801840 is a wasteful number, since it uses less digits than its factorization.

11035801840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27854 (or 27848 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The spelling of 11035801840 in words is "eleven billion, thirty-five million, eight hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 727 1454 2908 3635 5089 5816 7270 10178 11632 14540 20356 25445 27107 29080 40712 50890 54214 58160 81424 101780 108428 135535 189749 203560 216856 271070 379498 407120 433712 542140 758996 948745 1084280 1517992 1897490 2168560 3035984 3794980 7589960 15179920 19706789 39413578 78827156 98533945 137947523 157654312 197067890 275895046 315308624 394135780 551790092 689737615 788271560 1103580184 1379475230 1576543120 2207160368 2758950460 5517900920 11035801840