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70134972336 = 2434111317113197
BaseRepresentation
bin100000101010001011…
…1101011111110110000
320201000211022202010000
41001110113223332300
52122114023103321
652115231510000
75032003300002
oct1012427537660
9221024282100
1070134972336
11278203aa860
1211714088300
1367c93b4440
14357490c372
151c573c2826
hex10545ebfb0

70134972336 has 800 divisors, whose sum is σ = 256034737728. Its totient is φ = 18207866880.

The previous prime is 70134972331. The next prime is 70134972337. The reversal of 70134972336 is 63327943107.

It is a happy number.

70134972336 is a `hidden beast` number, since 70 + 1 + 349 + 7 + 233 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 70134972291 and 70134972300.

It is not an unprimeable number, because it can be changed into a prime (70134972331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 356014990 + ... + 356015186.

Almost surely, 270134972336 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 70134972336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128017368864).

70134972336 is an abundant number, since it is smaller than the sum of its proper divisors (185899765392).

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

70134972336 is a wasteful number, since it uses less digits than its factorization.

70134972336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 70134972336 in words is "seventy billion, one hundred thirty-four million, nine hundred seventy-two thousand, three hundred thirty-six".