Search a number
-
+
670893270020064 = 2533713233127074421
BaseRepresentation
bin1001100010001011001000001…
…1000010101010111111100000
310020222102202210111122121212000
42120202302003002222333200
51200413403404111120224
610334512040300404000
7261212303436641040
oct23042620302527740
93228382714577760
10670893270020064
11184849268858373
12632b373a846600
1322a46c6b8c8780
14bb9559c36b720
1552867184620c9
hex2622c830aafe0

670893270020064 has 1536 divisors, whose sum is σ = 2595656277688320. Its totient is φ = 163688806195200.

The previous prime is 670893270020059. The next prime is 670893270020069. The reversal of 670893270020064 is 460020072398076.

It is an interprime number because it is at equal distance from previous prime (670893270020059) and next prime (670893270020069).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670893270020069) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 151751472574 + ... + 151751476994.

It is an arithmetic number, because the mean of its divisors is an integer number (1689880389120).

Almost surely, 2670893270020064 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 670893270020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297828138844160).

670893270020064 is an abundant number, since it is smaller than the sum of its proper divisors (1924763007668256).

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

670893270020064 is a wasteful number, since it uses less digits than its factorization.

670893270020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 670893270020064 in words is "six hundred seventy trillion, eight hundred ninety-three billion, two hundred seventy million, twenty thousand, sixty-four".