Search a number
-
+
670221319680 = 29345111312243
BaseRepresentation
bin10011100000011000100…
…11011011111000000000
32101001221212122200220000
421300030103123320000
541440103124212210
61231521224520000
766264465135363
oct11601423337000
92331855580800
10670221319680
1123926a50a3a0
12a9a87920000
134b280bb5143
142462042c0da
1512679ae9ac0
hex9c0c4dbe00

670221319680 has 800 divisors, whose sum is σ = 2639917070208. Its totient is φ = 161165721600.

The previous prime is 670221319633. The next prime is 670221319699. The reversal of 670221319680 is 86913122076.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 298804639 + ... + 298806881.

Almost surely, 2670221319680 is an apocalyptic number.

670221319680 is a gapful number since it is divisible by the number (60) 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 670221319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319958535104).

670221319680 is an abundant number, since it is smaller than the sum of its proper divisors (1969695750528).

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

670221319680 is a wasteful number, since it uses less digits than its factorization.

670221319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 670221319680 in words is "six hundred seventy billion, two hundred twenty-one million, three hundred nineteen thousand, six hundred eighty".