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455172265440 = 253252937594993
BaseRepresentation
bin1101001111110100110…
…00011001010111100000
31121111212201220211221100
412213322120121113200
524424143044443230
6545034145154400
744612410263564
oct6477230312740
91544781824840
10455172265440
11166045971a92
127427032ba00
1333bcbb33159
141805d7d76a4
15bc903c1660
hex69fa6195e0

455172265440 has 576 divisors, whose sum is σ = 1678571294400. Its totient is φ = 112071278592.

The previous prime is 455172265439. The next prime is 455172265441. The reversal of 455172265440 is 44562271554.

455172265440 is a `hidden beast` number, since 4 + 551 + 7 + 2 + 2 + 6 + 54 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (455172265439) and next prime (455172265441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455172265441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91159584 + ... + 91164576.

It is an arithmetic number, because the mean of its divisors is an integer number (2914186275).

Almost surely, 2455172265440 is an apocalyptic number.

455172265440 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 455172265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839285647200).

455172265440 is an abundant number, since it is smaller than the sum of its proper divisors (1223399028960).

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

455172265440 is a wasteful number, since it uses less digits than its factorization.

455172265440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 455172265440 in words is "four hundred fifty-five billion, one hundred seventy-two million, two hundred sixty-five thousand, four hundred forty".