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78125000000 = 26513
BaseRepresentation
bin100100011000010011…
…1001110010101000000
321110122122222012112112
41020300213032111000
52240000000000000
655520133514452
75434003354205
oct1106047162500
9243578865475
1078125000000
1130150586903
1213183aa2a28
1374a0845468
143ad1b3bcac
152073a9d235
hex12309ce540

78125000000 has 98 divisors (see below), whose sum is σ = 193786621062. Its totient is φ = 31250000000.

The previous prime is 78124999969. The next prime is 78125000011. The reversal of 78125000000 is 52187.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 7 ways, for example, as 73124813056 + 5000186944 = 270416^2 + 70712^2 .

It is a super-2 number, since 2×781250000002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78125000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15624999998 + ... + 15625000002.

Almost surely, 278125000000 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 78125000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96893310531).

78125000000 is an abundant number, since it is smaller than the sum of its proper divisors (115661621062).

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

78125000000 is an frugal number, since it uses more digits than its factorization.

78125000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 78125000000 its reverse (52187), we get a palindrome (78125052187).

The spelling of 78125000000 in words is "seventy-eight billion, one hundred twenty-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 20000 25000 31250 40000 50000 62500 78125 100000 125000 156250 200000 250000 312500 390625 500000 625000 781250 1000000 1250000 1562500 1953125 2500000 3125000 3906250 5000000 6250000 7812500 9765625 12500000 15625000 19531250 25000000 31250000 39062500 48828125 62500000 78125000 97656250 125000000 156250000 195312500 244140625 312500000 390625000 488281250 625000000 781250000 976562500 1220703125 1562500000 1953125000 2441406250 3125000000 3906250000 4882812500 7812500000 9765625000 15625000000 19531250000 39062500000 78125000000