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13553215240000 = 26541237273913
BaseRepresentation
bin1100010100111001101010…
…0101000111011101000000
31202222200012212120112020211
43011032122211013131000
53234023441100140000
644454132223043504
72566121210506252
oct305163245073500
952880185515224
1013553215240000
114355982742687
12162a854440594
137740a7a1c387
1434bd9c9adcd2
1518783c06d7ba
hexc539a947740

13553215240000 has 140 divisors (see below), whose sum is σ = 33634860402484. Its totient is φ = 5416883712000.

The previous prime is 13553215239953. The next prime is 13553215240007. The reversal of 13553215240000 is 4251235531.

It can be written as a sum of positive squares in 10 ways, for example, as 11036321833216 + 2516893406784 = 3322096^2 + 1586472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13553215240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49343044 + ... + 49616956.

Almost surely, 213553215240000 is an apocalyptic number.

13553215240000 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 13553215240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817430201242).

13553215240000 is an abundant number, since it is smaller than the sum of its proper divisors (20081645162484).

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

13553215240000 is an equidigital number, since it uses as much as digits as its factorization.

13553215240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275182 (or 275157 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 13553215240000 its reverse (4251235531), we get a palindrome (13557466475531).

The spelling of 13553215240000 in words is "thirteen trillion, five hundred fifty-three billion, two hundred fifteen million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1237 1250 1600 2000 2474 2500 4000 4948 5000 6185 8000 9896 10000 12370 19792 20000 24740 30925 39584 40000 49480 61850 79168 98960 123700 154625 197920 247400 273913 309250 395840 494800 547826 618500 773125 989600 1095652 1237000 1369565 1546250 1979200 2191304 2474000 2739130 3092500 4382608 4948000 5478260 6185000 6847825 8765216 9896000 10956520 12370000 13695650 17530432 21913040 24740000 27391300 34239125 43826080 49480000 54782600 68478250 87652160 109565200 136956500 171195625 219130400 273913000 338830381 342391250 438260800 547826000 677660762 684782500 1095652000 1355321524 1369565000 1694151905 2191304000 2710643048 2739130000 3388303810 5421286096 5478260000 6776607620 8470759525 10842572192 10956520000 13553215240 16941519050 21685144384 27106430480 33883038100 42353797625 54212860960 67766076200 84707595250 108425721920 135532152400 169415190500 211768988125 271064304800 338830381000 423537976250 542128609600 677660762000 847075952500 1355321524000 1694151905000 2710643048000 3388303810000 6776607620000 13553215240000