Search a number
-
+
5255632365525 = 335248541160403
BaseRepresentation
bin100110001111010110000…
…0110011010011111010101
3200121102201001111210112000
41030132230012122133111
51142102013341144100
615102223145145513
71051464320005503
oct114365406323725
920542631453460
105255632365525
1117469a0502353
1270a6b078b299
132c17b1000209
14142534229673
1591a9ec54900
hex4c7ac19a7d5

5255632365525 has 48 divisors (see below), whose sum is σ = 9655050400320. Its totient is φ = 2802928708800.

The previous prime is 5255632365523. The next prime is 5255632365553.

5255632365525 is a `hidden beast` number, since 5 + 2 + 5 + 5 + 63 + 23 + 6 + 552 + 5 = 666.

5255632365525 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5255632365525 - 21 = 5255632365523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5255632365523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32684974 + ... + 32845376.

It is an arithmetic number, because the mean of its divisors is an integer number (201146883340).

Almost surely, 25255632365525 is an apocalyptic number.

It is an amenable number.

5255632365525 is a deficient number, since it is larger than the sum of its proper divisors (4399418034795).

5255632365525 is a wasteful number, since it uses less digits than its factorization.

5255632365525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208963 (or 208952 counting only the distinct ones).

The product of its digits is 40500000, while the sum is 54.

The spelling of 5255632365525 in words is "five trillion, two hundred fifty-five billion, six hundred thirty-two million, three hundred sixty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 48541 145623 160403 242705 436869 481209 728115 802015 1213525 1310607 1443627 2184345 2406045 3640575 4010075 4330881 6553035 7218135 10921725 12030225 21654405 32765175 36090675 108272025 7786122023 23358366069 38930610115 70075098207 116791830345 194653050575 210225294621 350375491035 583959151725 1051126473105 1751877455175 5255632365525