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455364465000 = 23354172377641
BaseRepresentation
bin1101010000001011101…
…01100101000101101000
31121112101010120121011120
412220011311211011220
524430041300340000
6545105212455240
744620233042264
oct6500565450550
91545333517146
10455364465000
111661344073a5
127430477a520
1333c2c8b8ac3
141807b1490a4
15bca21d96a0
hex6a05d65168

455364465000 has 320 divisors, whose sum is σ = 1571747379840. Its totient is φ = 109317120000.

The previous prime is 455364464987. The next prime is 455364465041. The reversal of 455364465000 is 564463554.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5826180 + ... + 5903820.

It is an arithmetic number, because the mean of its divisors is an integer number (4911710562).

Almost surely, 2455364465000 is an apocalyptic number.

455364465000 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 455364465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785873689920).

455364465000 is an abundant number, since it is smaller than the sum of its proper divisors (1116382914840).

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

455364465000 is a wasteful number, since it uses less digits than its factorization.

455364465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77710 (or 77691 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 455364465000 in words is "four hundred fifty-five billion, three hundred sixty-four million, four hundred sixty-five thousand".