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355056421216 = 25719732714217
BaseRepresentation
bin1010010101010110000…
…00110000100101100000
31020221110111022000021211
411022223000300211200
521304123420434331
6431035523155504
734436425533040
oct5125300604540
91227414260254
10355056421216
11127640103462
125898b815b94
1327635323243
141328321d720
159380e028b1
hex52ab030960

355056421216 has 192 divisors, whose sum is σ = 855791032320. Its totient is φ = 141625221120.

The previous prime is 355056421183. The next prime is 355056421217. The reversal of 355056421216 is 612124650553.

It is a super-2 number, since 2×3550564212162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355056421217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84194340 + ... + 84198556.

It is an arithmetic number, because the mean of its divisors is an integer number (4457244960).

Almost surely, 2355056421216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355056421216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427895516160).

355056421216 is an abundant number, since it is smaller than the sum of its proper divisors (500734611104).

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

355056421216 is a wasteful number, since it uses less digits than its factorization.

355056421216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 355056421216 in words is "three hundred fifty-five billion, fifty-six million, four hundred twenty-one thousand, two hundred sixteen".