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455390779872 = 253741161310247
BaseRepresentation
bin1101010000001110110…
…01111101100111100000
31121112102222002112101110
412220013121331213200
524430120014423442
6545111552503320
744621002522110
oct6500731754740
91545388075343
10455390779872
11166148250126
127431154ab40
1333c351a0632
1418080839040
15bca468669c
hex6a0767d9e0

455390779872 has 192 divisors, whose sum is σ = 1400497910784. Its totient is φ = 126847119360.

The previous prime is 455390779859. The next prime is 455390779873. The reversal of 455390779872 is 278977093554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455390779873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44436253 + ... + 44446499.

It is an arithmetic number, because the mean of its divisors is an integer number (7294259952).

Almost surely, 2455390779872 is an apocalyptic number.

455390779872 is a gapful number since it is divisible by the number (42) 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 455390779872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700248955392).

455390779872 is an abundant number, since it is smaller than the sum of its proper divisors (945107130912).

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

455390779872 is a wasteful number, since it uses less digits than its factorization.

455390779872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11921 (or 11913 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 66.

The spelling of 455390779872 in words is "four hundred fifty-five billion, three hundred ninety million, seven hundred seventy-nine thousand, eight hundred seventy-two".