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20455596247680 = 273451137226203
BaseRepresentation
bin1001010011010101100001…
…00011000100101010000000
32200102112110200011212220000
410221222300203010222000
510140121030114411210
6111301100550520000
74210603513153356
oct451526043045200
980375420155800
1020455596247680
116577195895170
122364521966000
13b54c53c04349
1450a0b009d7d6
1525716c5a6ac0
hex129ab08c4a80

20455596247680 has 960 divisors, whose sum is σ = 81906757843680. Its totient is φ = 4824723087360.

The previous prime is 20455596247661. The next prime is 20455596247703. The reversal of 20455596247680 is 8674269555402.

20455596247680 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 559 + 6 + 2 + 4 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 780645459 + ... + 780671661.

Almost surely, 220455596247680 is an apocalyptic number.

20455596247680 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 20455596247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40953378921840).

20455596247680 is an abundant number, since it is smaller than the sum of its proper divisors (61451161596000).

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

20455596247680 is a wasteful number, since it uses less digits than its factorization.

20455596247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26319 (or 26261 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 20455596247680 in words is "twenty trillion, four hundred fifty-five billion, five hundred ninety-six million, two hundred forty-seven thousand, six hundred eighty".