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78157000000 = 265678157
BaseRepresentation
bin100100011001010000…
…1010010110101000000
321110201220011222021201
41020302201102311000
52240031143000000
655523235430544
75434542352522
oct1106241226500
9243656158251
1078157000000
1130167652992
1213192755454
1374a736a881
143ad60aba12
1520767be96a
hex1232852d40

78157000000 has 98 divisors (see below), whose sum is σ = 193865995046. Its totient is φ = 31262400000.

The previous prime is 78156999967. The next prime is 78157000003. The reversal of 78157000000 is 75187.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 67259310336 + 10897689664 = 259344^2 + 104392^2 .

It is a super-2 number, since 2×781570000002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78157000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 960922 + ... + 1039078.

Almost surely, 278157000000 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 78157000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96932997523).

78157000000 is an abundant number, since it is smaller than the sum of its proper divisors (115708995046).

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

78157000000 is an frugal number, since it uses more digits than its factorization.

78157000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78199 (or 78164 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

Adding to 78157000000 its reverse (75187), we get a palindrome (78157075187).

The spelling of 78157000000 in words is "seventy-eight billion, one hundred fifty-seven million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 78157 100000 125000 156314 200000 250000 312628 390785 500000 625256 781570 1000000 1250512 1563140 1953925 2501024 3126280 3907850 5002048 6252560 7815700 9769625 12505120 15631400 19539250 25010240 31262800 39078500 48848125 62525600 78157000 97696250 125051200 156314000 195392500 244240625 312628000 390785000 488481250 625256000 781570000 976962500 1221203125 1563140000 1953925000 2442406250 3126280000 3907850000 4884812500 7815700000 9769625000 15631400000 19539250000 39078500000 78157000000