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13754521000 = 2353113074073
BaseRepresentation
bin11001100111101010…
…10101010110101000
31022111120120001200201
430303311111112220
5211132124133000
610152503041544
7664564333213
oct146365252650
938446501621
1013754521000
115919083230
1227ba4402b4
1313b27c022c
14946a5677a
155577e396a
hex333d555a8

13754521000 has 128 divisors (see below), whose sum is σ = 35234559360. Its totient is φ = 4984128000.

The previous prime is 13754520991. The next prime is 13754521003. The reversal of 13754521000 is 12545731.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13754521000.

It is not an unprimeable number, because it can be changed into a prime (13754521003) 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, 3374964 + ... + 3379036.

It is an arithmetic number, because the mean of its divisors is an integer number (275269995).

Almost surely, 213754521000 is an apocalyptic number.

13754521000 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 13754521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17617279680).

13754521000 is an abundant number, since it is smaller than the sum of its proper divisors (21480038360).

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

13754521000 is a wasteful number, since it uses less digits than its factorization.

13754521000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 13754521000 in words is "thirteen billion, seven hundred fifty-four million, five hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 307 440 500 550 614 1000 1100 1228 1375 1535 2200 2456 2750 3070 3377 4073 5500 6140 6754 7675 8146 11000 12280 13508 15350 16292 16885 20365 27016 30700 32584 33770 38375 40730 44803 61400 67540 76750 81460 84425 89606 101825 135080 153500 162920 168850 179212 203650 224015 307000 337700 358424 407300 422125 448030 509125 675400 814600 844250 896060 1018250 1120075 1250411 1688500 1792120 2036500 2240150 2500822 3377000 4073000 4480300 5001644 5600375 6252055 8960600 10003288 11200750 12504110 13754521 22401500 25008220 27509042 31260275 44803000 50016440 55018084 62520550 68772605 110036168 125041100 137545210 156301375 250082200 275090420 312602750 343863025 550180840 625205500 687726050 1250411000 1375452100 1719315125 2750904200 3438630250 6877260500 13754521000