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951428606608 = 241740912017121
BaseRepresentation
bin11011101100001011001…
…00000110101010010000
310100221210200202222201001
431312011210012222100
5111042011210402413
62005025200551344
7125511200502064
oct15660544065220
93327720688631
10951428606608
11337553710167
12134487622554
136b9474b228c
1434099753aa4
1519b375174dd
hexdd85906a90

951428606608 has 80 divisors (see below), whose sum is σ = 1958504134320. Its totient is φ = 446201856000.

The previous prime is 951428606603. The next prime is 951428606629. The reversal of 951428606608 is 806606824159.

It can be written as a sum of positive squares in 8 ways, for example, as 82006631424 + 869421975184 = 286368^2 + 932428^2 .

It is not an unprimeable number, because it can be changed into a prime (951428606603) 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 15 ways as a sum of consecutive naturals, for example, 133605288 + ... + 133612408.

It is an arithmetic number, because the mean of its divisors is an integer number (24481301679).

Almost surely, 2951428606608 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 951428606608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979252067160).

951428606608 is an abundant number, since it is smaller than the sum of its proper divisors (1007075527712).

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

951428606608 is a wasteful number, since it uses less digits than its factorization.

951428606608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8756 (or 8750 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 951428606608 in words is "nine hundred fifty-one billion, four hundred twenty-eight million, six hundred six thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 409 818 1201 1636 2402 3272 4804 6544 6953 7121 9608 13906 14242 19216 20417 27812 28484 40834 55624 56968 81668 111248 113936 121057 163336 242114 326672 484228 491209 968456 982418 1936912 1964836 2912489 3929672 5824978 7859344 8350553 8552321 11649956 16701106 17104642 23299912 33402212 34209284 46599824 49512313 66804424 68418568 99024626 133608848 136837136 145389457 198049252 290778914 396098504 581557828 792197008 1163115656 2326231312 3497899289 6995798578 13991597156 27983194312 55966388624 59464287913 118928575826 237857151652 475714303304 951428606608