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50555523185152 = 294211153203417
BaseRepresentation
bin10110111111010111000000…
…00000000011101000000000
320122000001122100001000200021
423133223200000003220000
523111300202413411102
6255304515311103224
713435341664531036
oct1337534000035000
9218001570030607
1050555523185152
1115121527949367
125805bba511b14
13222949998155b
14c6ac868cc556
155ca0e9e87137
hex2dfae0003a00

50555523185152 has 80 divisors (see below), whose sum is σ = 101340553858632. Its totient is φ = 25195724144640.

The previous prime is 50555523185129. The next prime is 50555523185159. The reversal of 50555523185152 is 25158132555505.

It can be written as a sum of positive squares in 4 ways, for example, as 48312286095616 + 2243237089536 = 6950704^2 + 1497744^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 50555523185152.

It is not an unprimeable number, because it can be changed into a prime (50555523185159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248429748 + ... + 248633164.

Almost surely, 250555523185152 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 50555523185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50670276929316).

50555523185152 is an abundant number, since it is smaller than the sum of its proper divisors (50785030673480).

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

50555523185152 is a wasteful number, since it uses less digits than its factorization.

50555523185152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205009 (or 204993 counting only the distinct ones).

The product of its (nonzero) digits is 7500000, while the sum is 52.

The spelling of 50555523185152 in words is "fifty trillion, five hundred fifty-five billion, five hundred twenty-three million, one hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 421 512 842 1153 1684 2306 3368 4612 6736 9224 13472 18448 26944 36896 53888 73792 107776 147584 203417 215552 295168 406834 485413 590336 813668 970826 1627336 1941652 3254672 3883304 6509344 7766608 13018688 15533216 26037376 31066432 52074752 62132864 85638557 104149504 124265728 171277114 234539801 248531456 342554228 469079602 685108456 938159204 1370216912 1876318408 2740433824 3752636816 5480867648 7505273632 10961735296 15010547264 21923470592 30021094528 43846941184 60042189056 98741256221 120084378112 197482512442 394965024884 789930049768 1579860099536 3159720199072 6319440398144 12638880796288 25277761592576 50555523185152