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70290449040 = 243572233183101
BaseRepresentation
bin100000101110110100…
…0110010001010010000
320201102122212210001110
41001131220302022100
52122423323332130
652142504133320
75035601646600
oct1013550621220
9221378783043
1070290449040
11278a01427a9
1211758167240
1368226800a6
14358b420c00
151c65d84ab0
hex105da32290

70290449040 has 960 divisors, whose sum is σ = 279054139392. Its totient is φ = 14547456000.

The previous prime is 70290448973. The next prime is 70290449041. The reversal of 70290449040 is 4094409207.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 70290449040.

It is not an unprimeable number, because it can be changed into a prime (70290449041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 695944990 + ... + 695945090.

Almost surely, 270290449040 is an apocalyptic number.

70290449040 is a gapful number since it is divisible by the number (70) 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 70290449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139527069696).

70290449040 is an abundant number, since it is smaller than the sum of its proper divisors (208763690352).

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

70290449040 is a wasteful number, since it uses less digits than its factorization.

70290449040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 70290449040 in words is "seventy billion, two hundred ninety million, four hundred forty-nine thousand, forty".