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5315312500 = 225773233
BaseRepresentation
bin1001111001101000…
…10011101101110100
3111201102200211222221
410330310103231310
541341210000000
62235233332124
7245501260621
oct47464235564
914642624887
105315312500
11228839aa53
121044107044
1366928b334
14385cdd348
1521198c61a
hex13cd13b74

5315312500 has 96 divisors (see below), whose sum is σ = 11837079072. Its totient is φ = 2088000000.

The previous prime is 5315312467. The next prime is 5315312501. The reversal of 5315312500 is 52135135.

5315312500 = T12031 + T12032 + ... + T12103.

It can be written as a sum of positive squares in 16 ways, for example, as 1482712036 + 3832600464 = 38506^2 + 61908^2 .

It is a sliding number, since 5315312500 = 195312500 + 5120000000 and 1/195312500 + 1/5120000000 = 0.000000005315312500.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5315312501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22812384 + ... + 22812616.

It is an arithmetic number, because the mean of its divisors is an integer number (123302907).

Almost surely, 25315312500 is an apocalyptic number.

5315312500 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 5315312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918539536).

5315312500 is an abundant number, since it is smaller than the sum of its proper divisors (6521766572).

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

5315312500 is an frugal number, since it uses more digits than its factorization.

5315312500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 5315312500 is about 72906.1897235070. The cubic root of 5315312500 is about 1745.1908779358.

Adding to 5315312500 its reverse (52135135), we get a palindrome (5367447635).

The spelling of 5315312500 in words is "five billion, three hundred fifteen million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 233 250 292 365 466 500 625 730 932 1165 1250 1460 1825 2330 2500 3125 3650 4660 5825 6250 7300 9125 11650 12500 15625 17009 18250 23300 29125 31250 34018 36500 45625 58250 62500 68036 78125 85045 91250 116500 145625 156250 170090 182500 228125 291250 312500 340180 425225 456250 582500 728125 850450 912500 1140625 1456250 1700900 2126125 2281250 2912500 3640625 4252250 4562500 5703125 7281250 8504500 10630625 11406250 14562500 18203125 21261250 22812500 36406250 42522500 53153125 72812500 106306250 212612500 265765625 531531250 1063062500 1328828125 2657656250 5315312500