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670460499072 = 27357213219137
BaseRepresentation
bin10011100000110101000…
…11110101010010000000
32101002120112201021100000
421300122203311102000
541441100341432242
61232001051200000
766303431132400
oct11603243652200
92332515637300
10670460499072
11239382522411
12a9b33a46000
134b2bb609600
14246440cc800
1512690ae2a4c
hex9c1a8f5480

670460499072 has 1728 divisors, whose sum is σ = 2672246959200. Its totient is φ = 166295420928.

The previous prime is 670460499067. The next prime is 670460499101. The reversal of 670460499072 is 270994064076.

It is a happy number.

670460499072 is a `hidden beast` number, since 6 + 70 + 460 + 49 + 9 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×6704604990722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4893872188 + ... + 4893872324.

Almost surely, 2670460499072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670460499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336123479600).

670460499072 is an abundant number, since it is smaller than the sum of its proper divisors (2001786460128).

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

670460499072 is a wasteful number, since it uses less digits than its factorization.

670460499072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 670460499072 in words is "six hundred seventy billion, four hundred sixty million, four hundred ninety-nine thousand, seventy-two".