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88064350976 = 28758783719
BaseRepresentation
bin101001000000100001…
…0110101101100000000
322102022100121112211202
41102001002311230000
52420323433212401
6104242312400332
76235213426640
oct1220102655400
9272270545752
1088064350976
1134391037358
12150986a60a8
1383c5ab9424
144395bd4520
15245647b06b
hex14810b5b00

88064350976 has 72 divisors (see below), whose sum is σ = 201241447680. Its totient is φ = 37677118464.

The previous prime is 88064350949. The next prime is 88064350993. The reversal of 88064350976 is 67905346088.

It is a super-2 number, since 2×880643509762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010045 + ... + 1093763.

Almost surely, 288064350976 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 88064350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100620723840).

88064350976 is an abundant number, since it is smaller than the sum of its proper divisors (113177096704).

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

88064350976 is an equidigital number, since it uses as much as digits as its factorization.

88064350976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84329 (or 84315 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 88064350976 in words is "eighty-eight billion, sixty-four million, three hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 587 896 1174 1792 2348 4109 4696 8218 9392 16436 18784 32872 37568 65744 75136 83719 131488 150272 167438 262976 334876 525952 586033 669752 1051904 1172066 1339504 2344132 2679008 4688264 5358016 9376528 10716032 18753056 21432064 37506112 49143053 75012224 98286106 150024448 196572212 344001371 393144424 688002742 786288848 1376005484 1572577696 2752010968 3145155392 5504021936 6290310784 11008043872 12580621568 22016087744 44032175488 88064350976