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13704972900 = 2235231432797
BaseRepresentation
bin11001100001110000…
…10100101001100100
31022101010022202110220
430300320110221210
5211031433113100
610143533044340
7663423230133
oct146070245144
938333282426
1013704972900
1158a3110a93
1227a59266b0
1313a5462728
1494023991a
155532a7aa0
hex330e14a64

13704972900 has 216 divisors, whose sum is σ = 41958814464. Its totient is φ = 3450182400.

The previous prime is 13704972881. The next prime is 13704972923. The reversal of 13704972900 is 927940731.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17195302 + ... + 17196098.

Almost surely, 213704972900 is an apocalyptic number.

13704972900 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 13704972900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20979407232).

13704972900 is an abundant number, since it is smaller than the sum of its proper divisors (28253841564).

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

13704972900 is a wasteful number, since it uses less digits than its factorization.

13704972900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 13704972900 in words is "thirteen billion, seven hundred four million, nine hundred seventy-two thousand, nine hundred".