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70212589440 = 27357172331431
BaseRepresentation
bin100000101100011111…
…1110001011110000000
320201020020101002202120
41001120333301132000
52122243410330230
652131043244240
75033635106640
oct1013077613600
9221206332676
1070212589440
11278601a3724
1211736079680
13680c4bc016
143580d54520
151c5e105310
hex1058ff1780

70212589440 has 1024 divisors, whose sum is σ = 292387553280. Its totient is φ = 13949337600.

The previous prime is 70212589397. The next prime is 70212589441. The reversal of 70212589440 is 4498521207.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 70212589392 and 70212589401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70212589441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162906025 + ... + 162906455.

It is an arithmetic number, because the mean of its divisors is an integer number (285534720).

Almost surely, 270212589440 is an apocalyptic number.

70212589440 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 70212589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146193776640).

70212589440 is an abundant number, since it is smaller than the sum of its proper divisors (222174963840).

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

70212589440 is a wasteful number, since it uses less digits than its factorization.

70212589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 70212589440 in words is "seventy billion, two hundred twelve million, five hundred eighty-nine thousand, four hundred forty".