Search a number
-
+
670270849920 = 273257315961149
BaseRepresentation
bin10011100000011110100…
…00011000001110000000
32101002002022212002121100
421300033100120032000
541440203314144140
61231530154254400
766265636135410
oct11601720301600
92332068762540
10670270849920
1123929546a181
12a9aa0427400
134b28b237789
1424626c42640
151267e130530
hex9c0f418380

670270849920 has 1536 divisors, whose sum is σ = 2841246720000. Its totient is φ = 142398259200.

The previous prime is 670270849891. The next prime is 670270849961. The reversal of 670270849920 is 29948072076.

670270849920 is a `hidden beast` number, since 67 + 0 + 2 + 70 + 8 + 499 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4498462006 + ... + 4498462154.

It is an arithmetic number, because the mean of its divisors is an integer number (1849770000).

Almost surely, 2670270849920 is an apocalyptic number.

670270849920 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 670270849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420623360000).

670270849920 is an abundant number, since it is smaller than the sum of its proper divisors (2170975870080).

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

670270849920 is a wasteful number, since it uses less digits than its factorization.

670270849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 670270849920 in words is "six hundred seventy billion, two hundred seventy million, eight hundred forty-nine thousand, nine hundred twenty".