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455495409216 = 26326124612
BaseRepresentation
bin1101010000011011010…
…01000101111001000000
31121112201020222020212100
412220031221011321000
524430323311043331
6545130211230400
744623413044661
oct6501551057100
91545636866770
10455495409216
111661a1313761
12743405a8400
1333c50a752a3
14180906b3368
15bcad952ae6
hex6a0da45e40

455495409216 has 189 divisors, whose sum is σ = 1330234951539. Its totient is φ = 149018803200.

The previous prime is 455495409197. The next prime is 455495409253. The reversal of 455495409216 is 612904594554.

It is a happy number.

The square root of 455495409216 is 674904.

It is a perfect power (a square), and thus also a powerful number.

455495409216 is a `hidden beast` number, since 4 + 5 + 5 + 4 + 9 + 540 + 92 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228767063616 + 226728345600 = 478296^2 + 476160^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 988059226 + ... + 988059686.

Almost surely, 2455495409216 is an apocalyptic number.

455495409216 is the 674904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455495409216

455495409216 is an abundant number, since it is smaller than the sum of its proper divisors (874739542323).

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

455495409216 is an frugal number, since it uses more digits than its factorization.

455495409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 455495409216 in words is "four hundred fifty-five billion, four hundred ninety-five million, four hundred nine thousand, two hundred sixteen".