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1970445312 = 210331121931
BaseRepresentation
bin111010101110010…
…1001110000000000
312002022201222211000
41311130221300000
513013413222222
6523305252000
766554336343
oct16534516000
95068658730
101970445312
119212a0800
1246ba94000
132552c9c94
141499a445a
15b7ec59ac
hex75729c00

1970445312 has 528 divisors, whose sum is σ = 6969625600. Its totient is φ = 547430400.

The previous prime is 1970445283. The next prime is 1970445313. The reversal of 1970445312 is 2135440791.

1970445312 is a `hidden beast` number, since 19 + 70 + 44 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970445313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63562737 + ... + 63562767.

Almost surely, 21970445312 is an apocalyptic number.

1970445312 is a gapful number since it is divisible by the number (12) 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 1970445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484812800).

1970445312 is an abundant number, since it is smaller than the sum of its proper divisors (4999180288).

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

1970445312 is a wasteful number, since it uses less digits than its factorization.

1970445312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1970445312 is about 44389.6982643496. The cubic root of 1970445312 is about 1253.6841309690.

The spelling of 1970445312 in words is "one billion, nine hundred seventy million, four hundred forty-five thousand, three hundred twelve".