Search a number
-
+
70384923648 = 2103313316317
BaseRepresentation
bin100000110001101000…
…1001011010000000000
320201200020122120212000
41001203101023100000
52123122020024043
652200121104000
75041126660014
oct1014321132000
9221606576760
1070384923648
11279394aa996
1211783928000
13683910a920
143599bb4544
151c6e2e72d3
hex106344b400

70384923648 has 352 divisors, whose sum is σ = 231758392320. Its totient is φ = 20954972160.

The previous prime is 70384923641. The next prime is 70384923689. The reversal of 70384923648 is 84632948307.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 70384923594 and 70384923603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70384923641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11138986 + ... + 11145302.

Almost surely, 270384923648 is an apocalyptic number.

70384923648 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 70384923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115879196160).

70384923648 is an abundant number, since it is smaller than the sum of its proper divisors (161373468672).

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

70384923648 is a wasteful number, since it uses less digits than its factorization.

70384923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6366 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 70384923648 in words is "seventy billion, three hundred eighty-four million, nine hundred twenty-three thousand, six hundred forty-eight".