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450995500950 = 235219934743541
BaseRepresentation
bin1101001000000010110…
…11010011011110010110
31121010002122121020012020
412210001123103132112
524342114322012300
6543103502434010
744404042335621
oct6440133233626
91533078536166
10450995500950
111642a2226005
12734a5592906
13336b4701487
1417b84bccdb8
15bae88818a0
hex69016d3796

450995500950 has 96 divisors (see below), whose sum is σ = 1127354630400. Its totient is φ = 119313532800.

The previous prime is 450995500937. The next prime is 450995500987. The reversal of 450995500950 is 59005599054.

It is a junction number, because it is equal to n+sod(n) for n = 450995500893 and 450995500902.

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 47 ways as a sum of consecutive naturals, for example, 10336180 + ... + 10379720.

It is an arithmetic number, because the mean of its divisors is an integer number (11743277400).

Almost surely, 2450995500950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450995500950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563677315200).

450995500950 is an abundant number, since it is smaller than the sum of its proper divisors (676359129450).

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

450995500950 is a wasteful number, since it uses less digits than its factorization.

450995500950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44102 (or 44097 counting only the distinct ones).

The product of its (nonzero) digits is 1822500, while the sum is 51.

The spelling of 450995500950 in words is "four hundred fifty billion, nine hundred ninety-five million, five hundred thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 199 347 398 597 694 995 1041 1194 1735 1990 2082 2985 3470 4975 5205 5970 8675 9950 10410 14925 17350 26025 29850 43541 52050 69053 87082 130623 138106 207159 217705 261246 345265 414318 435410 653115 690530 1035795 1088525 1306230 1726325 2071590 2177050 3265575 3452650 5178975 6531150 8664659 10357950 15108727 17329318 25993977 30217454 43323295 45326181 51987954 75543635 86646590 90652362 129969885 151087270 216616475 226630905 259939770 377718175 433232950 453261810 649849425 755436350 1133154525 1299698850 2266309050 3006636673 6013273346 9019910019 15033183365 18039820038 30066366730 45099550095 75165916825 90199100190 150331833650 225497750475 450995500950