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1369728818000 = 24534331581673
BaseRepresentation
bin10011111011101010001…
…100110001101101010000
311211221111202102102022222
4103323222030301231100
5134420201034134000
62525124510120212
7200650104565064
oct23735214615520
94757452372288
101369728818000
11488998233204
121a15674b0068
139c21b2c3c6a
144a41c16daa4
152596a81aa85
hex13eea331b50

1369728818000 has 80 divisors (see below), whose sum is σ = 3319655351376. Its totient is φ = 546625843200.

The previous prime is 1369728817981. The next prime is 1369728818023. The reversal of 1369728818000 is 8188279631.

It can be written as a sum of positive squares in 8 ways, for example, as 339105899584 + 1030622918416 = 582328^2 + 1015196^2 .

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, 75164 + ... + 1656836.

Almost surely, 21369728818000 is an apocalyptic number.

1369728818000 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 1369728818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659827675688).

1369728818000 is an abundant number, since it is smaller than the sum of its proper divisors (1949926533376).

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

1369728818000 is a wasteful number, since it uses less digits than its factorization.

1369728818000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582129 (or 1582113 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The spelling of 1369728818000 in words is "one trillion, three hundred sixty-nine billion, seven hundred twenty-eight million, eight hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 433 500 866 1000 1732 2000 2165 3464 4330 6928 8660 10825 17320 21650 34640 43300 54125 86600 108250 173200 216500 433000 866000 1581673 3163346 6326692 7908365 12653384 15816730 25306768 31633460 39541825 63266920 79083650 126533840 158167300 197709125 316334600 395418250 632669200 684864409 790836500 1369728818 1581673000 2739457636 3163346000 3424322045 5478915272 6848644090 10957830544 13697288180 17121610225 27394576360 34243220450 54789152720 68486440900 85608051125 136972881800 171216102250 273945763600 342432204500 684864409000 1369728818000