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13255354000 = 245371815231
BaseRepresentation
bin11000101100001010…
…01010011010010000
31021012210021202022001
430112011022122100
5204121332312000
610031152123344
7646323435640
oct142605123220
937183252261
1013255354000
115692335719
12269b236554
13133326a345
148da63a520
15528a9246a
hex31614a690

13255354000 has 160 divisors (see below), whose sum is σ = 36839642112. Its totient is φ = 4518720000.

The previous prime is 13255353973. The next prime is 13255354031. The reversal of 13255354000 is 45355231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13255354000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2531385 + ... + 2536615.

Almost surely, 213255354000 is an apocalyptic number.

13255354000 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 13255354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419821056).

13255354000 is an abundant number, since it is smaller than the sum of its proper divisors (23584288112).

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

13255354000 is a wasteful number, since it uses less digits than its factorization.

13255354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 13255354000 in words is "thirteen billion, two hundred fifty-five million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 181 200 250 280 350 362 400 500 560 700 724 875 905 1000 1267 1400 1448 1750 1810 2000 2534 2800 2896 3500 3620 4525 5068 5231 6335 7000 7240 9050 10136 10462 12670 14000 14480 18100 20272 20924 22625 25340 26155 31675 36200 36617 41848 45250 50680 52310 63350 72400 73234 83696 90500 101360 104620 126700 130775 146468 158375 181000 183085 209240 253400 261550 292936 316750 362000 366170 418480 506800 523100 585872 633500 653875 732340 915425 946811 1046200 1267000 1307750 1464680 1830850 1893622 2092400 2534000 2615500 2929360 3661700 3787244 4577125 4734055 5231000 6627677 7323400 7574488 9154250 9468110 10462000 13255354 14646800 15148976 18308500 18936220 23670275 26510708 33138385 36617000 37872440 47340550 53021416 66276770 73234000 75744880 94681100 106042832 118351375 132553540 165691925 189362200 236702750 265107080 331383850 378724400 473405500 530214160 662767700 828459625 946811000 1325535400 1656919250 1893622000 2651070800 3313838500 6627677000 13255354000