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5633157448048 = 241325179402253
BaseRepresentation
bin101000111111001001001…
…0110010100000101110000
3201221112011102120001201211
41101332102112110011300
51214243201301314143
615551500430005504
71120660615161664
oct121762226240560
921845142501654
105633157448048
111882010583589
1276b8b1046894
1331b2872a7100
141569095448a4
159b7e84ad49d
hex51f92594170

5633157448048 has 60 divisors (see below), whose sum is σ = 11820692359560. Its totient is φ = 2599410348288.

The previous prime is 5633157448033. The next prime is 5633157448151. The reversal of 5633157448048 is 8408447513365.

It is a junction number, because it is equal to n+sod(n) for n = 5633157447983 and 5633157448001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13802890 + ... + 14205142.

It is an arithmetic number, because the mean of its divisors is an integer number (197011539326).

Almost surely, 25633157448048 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 5633157448048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910346179780).

5633157448048 is an abundant number, since it is smaller than the sum of its proper divisors (6187534911512).

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

5633157448048 is a wasteful number, since it uses less digits than its factorization.

5633157448048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407466 (or 407447 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 58.

The spelling of 5633157448048 in words is "five trillion, six hundred thirty-three billion, one hundred fifty-seven million, four hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 5179 10358 20716 41432 67327 82864 134654 269308 402253 538616 804506 875251 1077232 1609012 1750502 3218024 3501004 5229289 6436048 7002008 10458578 14004016 20917156 41834312 67980757 83668624 135961514 271923028 543846056 1087692112 2083268287 4166536574 8333073148 16666146296 27082487731 33332292592 54164975462 108329950924 216659901848 352072340503 433319803696 704144681006 1408289362012 2816578724024 5633157448048