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2201978013048 = 23331129311516827
BaseRepresentation
bin100000000010110000000…
…111100000010101111000
321210111200122010000021000
4200002300013200111320
5242034122332404143
64403324050445000
7315042032200662
oct40026007402570
97714618100230
102201978013048
11779943201510
122b6911b93760
1312c8515ccc68
147880d545532
153c429e1ebd3
hex200b01e0578

2201978013048 has 512 divisors, whose sum is σ = 7173660672000. Its totient is φ = 619254720000.

The previous prime is 2201978013041. The next prime is 2201978013049. The reversal of 2201978013048 is 8403108791022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2201978012994 and 2201978013012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201978013041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 322536211 + ... + 322543037.

It is an arithmetic number, because the mean of its divisors is an integer number (14011056000).

Almost surely, 22201978013048 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 2201978013048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586830336000).

2201978013048 is an abundant number, since it is smaller than the sum of its proper divisors (4971682658952).

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

2201978013048 is a wasteful number, since it uses less digits than its factorization.

2201978013048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7064 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2201978013048 in words is "two trillion, two hundred one billion, nine hundred seventy-eight million, thirteen thousand, forty-eight".