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455323680000 = 28355472239
BaseRepresentation
bin1101010000000110110…
…01111111110100000000
31121112021021211111200000
412220003121333310000
524430000330230000
6545101154400000
744616226264500
oct6500331776400
91545237744600
10455323680000
1116611338aa92
12742b2b90000
1333c24308b77
141807596da00
15bc9d830000
hex6a0367fd00

455323680000 has 1620 divisors, whose sum is σ = 1987281616320. Its totient is φ = 103638528000.

The previous prime is 455323679989. The next prime is 455323680017. The reversal of 455323680000 is 86323554.

It is a happy number.

455323680000 is a `hidden beast` number, since 4 + 553 + 23 + 6 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1905119881 + ... + 1905120119.

Almost surely, 2455323680000 is an apocalyptic number.

455323680000 is a gapful number since it is divisible by the number (40) 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 455323680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993640808160).

455323680000 is an abundant number, since it is smaller than the sum of its proper divisors (1531957936320).

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

455323680000 is an frugal number, since it uses more digits than its factorization.

455323680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 455323680000 in words is "four hundred fifty-five billion, three hundred twenty-three million, six hundred eighty thousand".