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79405000000 = 265715881
BaseRepresentation
bin100100111110011101…
…0000010010101000000
321120221212111221102221
41021330322002111000
52300110140000000
6100251140420424
75510505235504
oct1117472022500
9246855457387
1079405000000
1130748063847
12134806a7714
137645a9a001
143bb3b34304
1520eb13c61a
hex127ce82540

79405000000 has 112 divisors (see below), whose sum is σ = 196973519184. Its totient is φ = 31760000000.

The previous prime is 79404999953. The next prime is 79405000043. The reversal of 79405000000 is 50497.

It can be written as a sum of positive squares in 8 ways, for example, as 75233906944 + 4171093056 = 274288^2 + 64584^2 .

It is a sliding number, since 79405000000 = 1280000000 + 78125000000 and 1/1280000000 + 1/78125000000 = 0.00000000079405000000.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4992060 + ... + 5007940.

Almost surely, 279405000000 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 79405000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98486759592).

79405000000 is an abundant number, since it is smaller than the sum of its proper divisors (117568519184).

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

79405000000 is an frugal number, since it uses more digits than its factorization.

79405000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15928 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

Adding to 79405000000 its reverse (50497), we get a palindrome (79405050497).

The spelling of 79405000000 in words is "seventy-nine billion, four hundred five 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 15881 20000 25000 31250 31762 40000 50000 62500 63524 78125 79405 100000 125000 127048 156250 158810 200000 250000 254096 312500 317620 397025 500000 508192 625000 635240 794050 1000000 1016384 1250000 1270480 1588100 1985125 2500000 2540960 3176200 3970250 5000000 5081920 6352400 7940500 9925625 12704800 15881000 19851250 25409600 31762000 39702500 49628125 63524000 79405000 99256250 127048000 158810000 198512500 248140625 317620000 397025000 496281250 635240000 794050000 992562500 1240703125 1588100000 1985125000 2481406250 3176200000 3970250000 4962812500 7940500000 9925625000 15881000000 19851250000 39702500000 79405000000