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13890036736 = 2102921272
BaseRepresentation
bin11001110111110100…
…10010010000000000
31022212000112222100001
430323322102100000
5211421322133421
610214143405344
71001131235632
oct147372222000
938760488301
1013890036736
115988622204
1228378b3854
1314048ba464
1495aa50a52
15564661691
hex33be92400

13890036736 has 99 divisors (see below), whose sum is σ = 28985206809. Its totient is φ = 6652735488.

The previous prime is 13890036683. The next prime is 13890036761. The reversal of 13890036736 is 63763009831.

The square root of 13890036736 is 117856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7283598336 + 6606438400 = 85344^2 + 81280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109370305 + ... + 109370431.

Almost surely, 213890036736 is an apocalyptic number.

13890036736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13890036736 is the 117856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13890036736

13890036736 is an abundant number, since it is smaller than the sum of its proper divisors (15095170073).

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

13890036736 is an frugal number, since it uses more digits than its factorization.

13890036736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 13890036736 in words is "thirteen billion, eight hundred ninety million, thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 127 128 232 254 256 464 508 512 841 928 1016 1024 1682 1856 2032 3364 3683 3712 4064 6728 7366 7424 8128 13456 14732 14848 16129 16256 26912 29464 29696 32258 32512 53824 58928 64516 65024 106807 107648 117856 129032 130048 213614 215296 235712 258064 427228 430592 467741 471424 516128 854456 861184 935482 942848 1032256 1708912 1870964 1885696 2064512 3417824 3741928 3771392 4129024 6835648 7483856 8258048 13564489 13671296 14967712 16516096 27128978 27342592 29935424 54257956 54685184 59870848 108515912 109370368 119741696 217031824 239483392 434063648 478966784 868127296 1736254592 3472509184 6945018368 13890036736