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88251056128 = 21431317209
BaseRepresentation
bin101001000110000101…
…1000100000000000000
322102210100221011011101
41102030023010000000
52421214232244003
6104313022224144
76242641412554
oct1221413040000
9272710834141
1088251056128
1134477469734
121512b125054
13842569a251
1443b2915864
152467a5b11d
hex148c2c4000

88251056128 has 60 divisors (see below), whose sum is σ = 177070901980. Its totient is φ = 43981996032.

The previous prime is 88251056111. The next prime is 88251056147. The reversal of 88251056128 is 82165015288.

It can be written as a sum of positive squares in 2 ways, for example, as 13988265984 + 74262790144 = 118272^2 + 272512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5119588 + ... + 5136796.

Almost surely, 288251056128 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 88251056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88535450990).

88251056128 is an abundant number, since it is smaller than the sum of its proper divisors (88819845852).

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

88251056128 is an equidigital number, since it uses as much as digits as its factorization.

88251056128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17550 (or 17524 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 46.

The spelling of 88251056128 in words is "eighty-eight billion, two hundred fifty-one million, fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 313 512 626 1024 1252 2048 2504 4096 5008 8192 10016 16384 17209 20032 34418 40064 68836 80128 137672 160256 275344 320512 550688 641024 1101376 1282048 2202752 2564096 4405504 5128192 5386417 8811008 10772834 17622016 21545668 35244032 43091336 70488064 86182672 140976128 172365344 281952256 344730688 689461376 1378922752 2757845504 5515691008 11031382016 22062764032 44125528064 88251056128