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20340474517200 = 24352241130753813
BaseRepresentation
bin1001001111111111000101…
…10000100001011011010000
32200000112022122100001010110
410213333202300201123100
510131224242434022300
6111132141320401320
74166356630456155
oct447774260413320
980015278301113
1020340474517200
11653238a654152
122346153916240
13b471385970b6
145046ac9ac22c
15254180a0e550
hex127fe2c216d0

20340474517200 has 240 divisors, whose sum is σ = 65478958560576. Its totient is φ = 5397386649600.

The previous prime is 20340474517199. The next prime is 20340474517271. The reversal of 20340474517200 is 271547404302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377957494 + ... + 378011306.

Almost surely, 220340474517200 is an apocalyptic number.

20340474517200 is a gapful number since it is divisible by the number (20) 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 20340474517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32739479280288).

20340474517200 is an abundant number, since it is smaller than the sum of its proper divisors (45138484043376).

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

20340474517200 is a wasteful number, since it uses less digits than its factorization.

20340474517200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55382 (or 55371 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 20340474517200 in words is "twenty trillion, three hundred forty billion, four hundred seventy-four million, five hundred seventeen thousand, two hundred".