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11355434054000 = 245336171569731
BaseRepresentation
bin1010010100111110010010…
…0111001111000101110000
31111012120100201112102101122
42211033210213033011300
52442021412104212000
640052340412521412
72251255145612531
oct245174447170560
944176321472348
1011355434054000
1136888a3540483
121334913a80268
13644a74a56b3a
142b386a9b6688
1514a5aa803085
hexa53e49cf170

11355434054000 has 80 divisors (see below), whose sum is σ = 27465048258336. Its totient is φ = 4540914944000.

The previous prime is 11355434053981. The next prime is 11355434054021. The reversal of 11355434054000 is 45043455311.

11355434054000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6449135 + ... + 8018865.

Almost surely, 211355434054000 is an apocalyptic number.

11355434054000 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 11355434054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13732524129168).

11355434054000 is an abundant number, since it is smaller than the sum of its proper divisors (16109614204336).

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

11355434054000 is a wasteful number, since it uses less digits than its factorization.

11355434054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573371 (or 1573355 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 11355434054000 in words is "eleven trillion, three hundred fifty-five billion, four hundred thirty-four million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3617 7234 14468 18085 28936 36170 57872 72340 90425 144680 180850 289360 361700 452125 723400 904250 1446800 1569731 1808500 3139462 3617000 6278924 7234000 7848655 12557848 15697310 25115696 31394620 39243275 62789240 78486550 125578480 156973100 196216375 313946200 392432750 627892400 784865500 1569731000 3139462000 5677717027 11355434054 22710868108 28388585135 45421736216 56777170270 90843472432 113554340540 141942925675 227108681080 283885851350 454217362160 567771702700 709714628375 1135543405400 1419429256750 2271086810800 2838858513500 5677717027000 11355434054000