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51161650000 = 24558911497
BaseRepresentation
bin101111101001011110…
…001101001101010000
311220001112200002211221
4233221132031031100
51314234340300000
635300415414424
73460555564306
oct575136151520
9156045602757
1051161650000
111a77446597a
129ab9b24414
134a946276a6
142694b1a276
1514e685761a
hexbe978d350

51161650000 has 120 divisors (see below), whose sum is σ = 125302214520. Its totient is φ = 20232960000.

The previous prime is 51161649997. The next prime is 51161650031. The reversal of 51161650000 is 5616115.

It can be written as a sum of positive squares in 12 ways, for example, as 50853858064 + 307791936 = 225508^2 + 17544^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 4444252 + ... + 4455748.

It is an arithmetic number, because the mean of its divisors is an integer number (1044185121).

Almost surely, 251161650000 is an apocalyptic number.

51161650000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51161650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62651107260).

51161650000 is an abundant number, since it is smaller than the sum of its proper divisors (74140564520).

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

51161650000 is an equidigital number, since it uses as much as digits as its factorization.

51161650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619 (or 11593 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 51161650000 in words is "fifty-one billion, one hundred sixty-one million, six hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 625 712 890 1000 1250 1424 1780 2000 2225 2500 3125 3560 4450 5000 6250 7120 8900 10000 11125 11497 12500 17800 22250 22994 25000 35600 44500 45988 50000 55625 57485 89000 91976 111250 114970 178000 183952 222500 229940 278125 287425 445000 459880 556250 574850 890000 919760 1023233 1112500 1149700 1437125 2046466 2225000 2299400 2874250 4092932 4450000 4598800 5116165 5748500 7185625 8185864 10232330 11497000 14371250 16371728 20464660 22994000 25580825 28742500 35928125 40929320 51161650 57485000 71856250 81858640 102323300 114970000 127904125 143712500 204646600 255808250 287425000 409293200 511616500 574850000 639520625 1023233000 1279041250 2046466000 2558082500 3197603125 5116165000 6395206250 10232330000 12790412500 25580825000 51161650000