Search a number
-
+
16128950671680 = 2635711673256637
BaseRepresentation
bin1110101010110101000001…
…1000000001100101000000
32010002220122022012122111120
43222231100120001211000
54103224042332443210
654145312044312240
73253164301442550
oct352552030014500
963086568178446
1016128950671680
11515928219a710
121985a94b42680
138ccc51b711c2
143da906cb9160
151ce83ea67270
hexeab50601940

16128950671680 has 448 divisors, whose sum is σ = 64798446569472. Its totient is φ = 3301447311360.

The previous prime is 16128950671679. The next prime is 16128950671843. The reversal of 16128950671680 is 8617605982161.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3324322 + ... + 6580958.

It is an arithmetic number, because the mean of its divisors is an integer number (144639389664).

Almost surely, 216128950671680 is an apocalyptic number.

16128950671680 is a gapful number since it is divisible by the number (10) 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 16128950671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32399223284736).

16128950671680 is an abundant number, since it is smaller than the sum of its proper divisors (48669495897792).

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

16128950671680 is a wasteful number, since it uses less digits than its factorization.

16128950671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256742 (or 3256732 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 16128950671680 in words is "sixteen trillion, one hundred twenty-eight billion, nine hundred fifty million, six hundred seventy-one thousand, six hundred eighty".