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13395552000 = 28353139537
BaseRepresentation
bin11000111100110111…
…11110011100000000
31021120120002112210120
430132123332130000
5204413230131000
610053121100240
7652645212315
oct143633763400
937516075716
1013395552000
115754492536
12271a187680
13135631683c
149110d2d0c
155360376a0
hex31e6fe700

13395552000 has 144 divisors (see below), whose sum is σ = 44493644832. Its totient is φ = 3572121600.

The previous prime is 13395551989. The next prime is 13395552013. The reversal of 13395552000 is 25559331.

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, 26232 + ... + 165768.

Almost surely, 213395552000 is an apocalyptic number.

13395552000 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 13395552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22246822416).

13395552000 is an abundant number, since it is smaller than the sum of its proper divisors (31098092832).

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

13395552000 is an equidigital number, since it uses as much as digits as its factorization.

13395552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139571 (or 139547 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The spelling of 13395552000 in words is "thirteen billion, three hundred ninety-five million, five hundred fifty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 139537 279074 418611 558148 697685 837222 1116296 1395370 1674444 2093055 2232592 2790740 3348888 3488425 4186110 4465184 5581480 6697776 6976850 8372220 8930368 10465275 11162960 13395552 13953700 16744440 17442125 17860736 20930550 22325920 26791104 27907400 33488880 34884250 35721472 41861100 44651840 52326375 53582208 55814800 66977760 69768500 83722200 89303680 104652750 107164416 111629600 133955520 139537000 167444400 178607360 209305500 223259200 267911040 279074000 334888800 418611000 446518400 535822080 558148000 669777600 837222000 893036800 1116296000 1339555200 1674444000 2232592000 2679110400 3348888000 4465184000 6697776000 13395552000