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929950700084 = 227261433179633
BaseRepresentation
bin11011000100001010110…
…00011001001000110100
310021220100212022021211122
431202011120121020310
5110214014334400314
61551114034523112
7124121021345600
oct15420530311064
93256325267748
10929950700084
11329431a2109a
12130292736498
136990387c653
143301d07a500
15192cbb6828e
hexd885619234

929950700084 has 72 divisors (see below), whose sum is σ = 1928603077128. Its totient is φ = 391109160960.

The previous prime is 929950700083. The next prime is 929950700093. The reversal of 929950700084 is 480007059929.

It can be written as a sum of positive squares in 4 ways, for example, as 62590032400 + 867360667684 = 250180^2 + 931322^2 .

It is a junction number, because it is equal to n+sod(n) for n = 929950699999 and 929950700035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (929950700083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5087132 + ... + 5266764.

It is an arithmetic number, because the mean of its divisors is an integer number (26786153849).

Almost surely, 2929950700084 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 929950700084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964301538564).

929950700084 is an abundant number, since it is smaller than the sum of its proper divisors (998652377044).

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

929950700084 is a wasteful number, since it uses less digits than its factorization.

929950700084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180145 (or 180136 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 929950700084 in words is "nine hundred twenty-nine billion, nine hundred fifty million, seven hundred thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 433 854 866 1708 1732 2989 3031 5978 6062 11956 12124 21217 26413 42434 52826 84868 105652 179633 184891 359266 369782 718532 739564 1257431 1294237 2514862 2588474 5029724 5176948 8802017 10957613 17604034 21915226 35208068 43830452 76703291 77781089 153406582 155562178 306813164 311124356 536923037 544467623 1073846074 1088935246 2147692148 2177870492 3811273361 4744646429 7622546722 9489292858 15245093444 18978585716 33212525003 66425050006 132850100012 232487675021 464975350042 929950700084