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13719994800 = 2435211433329
BaseRepresentation
bin11001100011100011…
…01000000110110000
31022102011120221122120
430301301220012300
5211044304313200
610145231034240
7663665013561
oct146161500660
938364527576
1013719994800
115900641186
1227aa96b980
1313a85c2025
1494222a168
155547739a0
hex331c681b0

13719994800 has 60 divisors (see below), whose sum is σ = 43949720520. Its totient is φ = 3658664960.

The previous prime is 13719994793. The next prime is 13719994807. The reversal of 13719994800 is 849991731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13719994793) and next prime (13719994807).

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (13719994807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5715465 + ... + 5717864.

It is an arithmetic number, because the mean of its divisors is an integer number (732495342).

Almost surely, 213719994800 is an apocalyptic number.

13719994800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13719994800 is an abundant number, since it is smaller than the sum of its proper divisors (30229725720).

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

13719994800 is a wasteful number, since it uses less digits than its factorization.

13719994800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11433350 (or 11433339 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 13719994800 in words is "thirteen billion, seven hundred nineteen million, nine hundred ninety-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 11433329 22866658 34299987 45733316 57166645 68599974 91466632 114333290 137199948 171499935 182933264 228666580 274399896 285833225 342999870 457333160 548799792 571666450 685999740 857499675 914666320 1143332900 1371999480 1714999350 2286665800 2743998960 3429998700 4573331600 6859997400 13719994800