Search a number
-
+
3355222394880 = 211325233151061
BaseRepresentation
bin110000110100110010110…
…101101100100000000000
3102212202102012212121210200
4300310302311230200000
5414432443413114010
611045211244125200
7464256352536306
oct60646265544000
912782365777720
103355222394880
111083a3a631654
12462321236800
131b451c3558c5
14b857219c276
155c424ecdcc0
hex30d32d6c800

3355222394880 has 576 divisors, whose sum is σ = 12525859906560. Its totient is φ = 828201369600.

The previous prime is 3355222394807. The next prime is 3355222394963. The reversal of 3355222394880 is 884932225533.

3355222394880 is a `hidden beast` number, since 3 + 3 + 5 + 522 + 2 + 39 + 4 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-5 number, since 5×33552223948805 (a number of 64 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65684550 + ... + 65735610.

It is an arithmetic number, because the mean of its divisors is an integer number (21746284560).

Almost surely, 23355222394880 is an apocalyptic number.

3355222394880 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 3355222394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262929953280).

3355222394880 is an abundant number, since it is smaller than the sum of its proper divisors (9170637511680).

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

3355222394880 is a wasteful number, since it uses less digits than its factorization.

3355222394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51148 (or 51125 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3355222394880 in words is "three trillion, three hundred fifty-five billion, two hundred twenty-two million, three hundred ninety-four thousand, eight hundred eighty".