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70842691584 = 212337217769
BaseRepresentation
bin100000111111010001…
…1011011000000000000
320202212011000121102000
41001332203123000000
52130041212112314
652313352424000
75055355641300
oct1017643330000
9222764017360
1070842691584
11280539417a5
12118910a8000
1368acbc7222
1436008d5600
151c995bc209
hex107e8db000

70842691584 has 624 divisors, whose sum is σ = 258842152800. Its totient is φ = 19025362944.

The previous prime is 70842691583. The next prime is 70842691597. The reversal of 70842691584 is 48519624807.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 70842691584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70842691583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92122752 + ... + 92123520.

Almost surely, 270842691584 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 70842691584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129421076400).

70842691584 is an abundant number, since it is smaller than the sum of its proper divisors (187999461216).

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

70842691584 is a wasteful number, since it uses less digits than its factorization.

70842691584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 70842691584 in words is "seventy billion, eight hundred forty-two million, six hundred ninety-one thousand, five hundred eighty-four".