Search a number
-
+
3326156160000 = 21035429314147
BaseRepresentation
bin110000011001101110010…
…110110011110000000000
3102202222101112121220100220
4300121232112303300000
5413443431434110000
611024003125543040
7462210151605612
oct60315626636000
912688345556326
103326156160000
111072684492133
1245876ab74a80
131b1869579b5b
14b6db5b7cdb2
155b7c33511a0
hex3066e5b3c00

3326156160000 has 1760 divisors, whose sum is σ = 12376294318080. Its totient is φ = 791347200000.

The previous prime is 3326156159939. The next prime is 3326156160007. The reversal of 3326156160000 is 616516233.

It is a super-2 number, since 2×33261561600002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3326156160007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70769279977 + ... + 70769280023.

It is an arithmetic number, because the mean of its divisors is an integer number (7031985408).

Almost surely, 23326156160000 is an apocalyptic number.

3326156160000 is a gapful number since it is divisible by the number (30) 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 3326156160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6188147159040).

3326156160000 is an abundant number, since it is smaller than the sum of its proper divisors (9050138158080).

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

3326156160000 is a wasteful number, since it uses less digits than its factorization.

3326156160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 3326156160000 in words is "three trillion, three hundred twenty-six billion, one hundred fifty-six million, one hundred sixty thousand".