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70861207968 = 253411322141
BaseRepresentation
bin100000111111110101…
…0000011100110100000
320202220102212100010000
41001333222003212200
52130110432123333
652315253340000
75056002221025
oct1017752034640
9222812770100
1070861207968
11280633393a1
1211897337600
1368b39ab275
14360315554c
151c9b028713
hex107fa839a0

70861207968 has 180 divisors, whose sum is σ = 210359627478. Its totient is φ = 23400437760.

The previous prime is 70861207939. The next prime is 70861208023. The reversal of 70861207968 is 86970216807.

It can be written as a sum of positive squares in 3 ways, for example, as 37191893904 + 33669314064 = 192852^2 + 183492^2 .

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 33096178 + ... + 33098318.

Almost surely, 270861207968 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 70861207968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105179813739).

70861207968 is an abundant number, since it is smaller than the sum of its proper divisors (139498419510).

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

70861207968 is a wasteful number, since it uses less digits than its factorization.

70861207968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 70861207968 in words is "seventy billion, eight hundred sixty-one million, two hundred seven thousand, nine hundred sixty-eight".