Search a number
-
+
5695978890625 = 566123132
BaseRepresentation
bin101001011100011001011…
…0011000110010110000001
3202011112022120012000002021
41102320302303012112001
51221310331044000000
620040410243321441
71125343444502542
oct122706263062601
922145276160067
105695978890625
1118a6718654171
1277bb03980281
1332418942b43a
14159988a004c9
159d27378411a
hex52e32cc6581

5695978890625 has 63 divisors (see below), whose sum is σ = 7261715427759. Its totient is φ = 4467762000000.

The previous prime is 5695978890601. The next prime is 5695978890629. The reversal of 5695978890625 is 5260988795965.

The square root of 5695978890625 is 2386625.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 31 ways, for example, as 3767702277249 + 1928276613376 = 1941057^2 + 1388624^2 .

It is not a de Polignac number, because 5695978890625 - 25 = 5695978890593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5695978890629) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 18198015469 + ... + 18198015781.

Almost surely, 25695978890625 is an apocalyptic number.

5695978890625 is the 2386625-th square number.

5695978890625 is the 1193313-rd centered octagonal number.

It is an amenable number.

5695978890625 is a deficient number, since it is larger than the sum of its proper divisors (1565736537134).

5695978890625 is an frugal number, since it uses more digits than its factorization.

5695978890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2939328000, while the sum is 79.

The spelling of 5695978890625 in words is "five trillion, six hundred ninety-five billion, nine hundred seventy-eight million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 61 125 305 313 625 1525 1565 3125 3721 7625 7825 15625 18605 19093 38125 39125 93025 95465 97969 190625 195625 465125 477325 489845 953125 978125 1164673 2325625 2386625 2449225 4890625 5823365 5976109 11628125 11933125 12246125 29116825 29880545 58140625 59665625 61230625 145584125 149402725 298328125 306153125 364542649 727920625 747013625 1530765625 1822713245 3639603125 3735068125 9113566225 18198015625 18675340625 45567831125 93376703125 227839155625 1139195778125 5695978890625