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356481181056 = 273721113192367
BaseRepresentation
bin1010010111111111110…
…11110010010110000000
31021002010210020022100210
411023333323302112000
521320033140243211
6431433140514120
734516636020600
oct5137773622600
91232123208323
10356481181056
11128201373630
12591089ab940
13278015607c0
141337a538c00
1594160389a6
hex52ffef2580

356481181056 has 1152 divisors, whose sum is σ = 1369484444160. Its totient is φ = 80750960640.

The previous prime is 356481181031. The next prime is 356481181079. The reversal of 356481181056 is 650181184653.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 356481180996 and 356481181014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 971338185 + ... + 971338551.

It is an arithmetic number, because the mean of its divisors is an integer number (1188788580).

Almost surely, 2356481181056 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 356481181056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684742222080).

356481181056 is an abundant number, since it is smaller than the sum of its proper divisors (1013003263104).

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

356481181056 is a wasteful number, since it uses less digits than its factorization.

356481181056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 356481181056 in words is "three hundred fifty-six billion, four hundred eighty-one million, one hundred eighty-one thousand, fifty-six".