Search a number
-
+
661812101325 = 325283271130769
BaseRepresentation
bin10011010000101110001…
…00110100000011001101
32100021020211020010221100
421220113010310003031
541320342344220300
61224010550053313
765546215020654
oct11502704640315
92307224203840
10661812101325
11235744750161
12a831b64a239
134a5409538ab
142406368019b
1512336719700
hex9a171340cd

661812101325 has 72 divisors (see below), whose sum is σ = 1204096682880. Its totient is φ = 347424422400.

The previous prime is 661812101323. The next prime is 661812101341. The reversal of 661812101325 is 523101218166.

661812101325 is a `hidden beast` number, since 6 + 618 + 1 + 2 + 1 + 0 + 1 + 32 + 5 = 666.

It is not a de Polignac number, because 661812101325 - 21 = 661812101323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 661812101325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661812101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4995541 + ... + 5126309.

It is an arithmetic number, because the mean of its divisors is an integer number (16723565040).

Almost surely, 2661812101325 is an apocalyptic number.

It is an amenable number.

661812101325 is a deficient number, since it is larger than the sum of its proper divisors (542284581555).

661812101325 is a wasteful number, since it uses less digits than its factorization.

661812101325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131139 (or 131131 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 661812101325 in words is "six hundred sixty-one billion, eight hundred twelve million, one hundred one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 83 225 249 271 415 747 813 1245 1355 2075 2439 3735 4065 6225 6775 12195 18675 20325 22493 60975 67479 112465 130769 202437 337395 392307 562325 653845 1012185 1176921 1686975 1961535 3269225 5060925 5884605 9807675 10853827 29423025 32561481 35438399 54269135 97684443 106315197 162807405 177191995 271345675 318945591 488422215 531575985 814037025 885959975 1594727955 2442111075 2657879925 2941387117 7973639775 8824161351 14706935585 26472484053 44120806755 73534677925 132362420265 220604033775 661812101325