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70312814208 = 2733721319412
BaseRepresentation
bin100000101111011111…
…0000110011010000000
320201111012222001022000
41001132332012122000
52123000040023313
652145023344000
75036263026300
oct1013676063200
9221435861260
1070312814208
112790182900a
1211763752000
1368271b0c10
1435903a3600
151c67d01673
hex105ef86680

70312814208 has 1152 divisors, whose sum is σ = 280490616000. Its totient is φ = 17139548160.

The previous prime is 70312814191. The next prime is 70312814233. The reversal of 70312814208 is 80241821307.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1714946668 + ... + 1714946708.

Almost surely, 270312814208 is an apocalyptic number.

70312814208 is a gapful number since it is divisible by the number (78) 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 70312814208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140245308000).

70312814208 is an abundant number, since it is smaller than the sum of its proper divisors (210177801792).

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

70312814208 is a wasteful number, since it uses less digits than its factorization.

70312814208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 70312814208 in words is "seventy billion, three hundred twelve million, eight hundred fourteen thousand, two hundred eight".