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135730025648 = 24729211319777
BaseRepresentation
bin111111001101000100…
…0111101010010110000
3110222100020222201002222
41332122020331102300
54210433341310043
6142204205300212
712543342116330
oct1763210752260
9428306881088
10135730025648
1152621074218
122237b864668
13ca51056359
1467d84bd0c0
1537e5e1dd68
hex1f9a23d4b0

135730025648 has 80 divisors (see below), whose sum is σ = 311071548480. Its totient is φ = 56134729728.

The previous prime is 135730025609. The next prime is 135730025653. The reversal of 135730025648 is 846520037531.

It is a junction number, because it is equal to n+sod(n) for n = 135730025599 and 135730025608.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6853136 + ... + 6872912.

It is an arithmetic number, because the mean of its divisors is an integer number (3888394356).

Almost surely, 2135730025648 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 135730025648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155535774240).

135730025648 is an abundant number, since it is smaller than the sum of its proper divisors (175341522832).

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

135730025648 is a wasteful number, since it uses less digits than its factorization.

135730025648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21934 (or 21928 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 135730025648 in words is "one hundred thirty-five billion, seven hundred thirty million, twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 2113 3248 4226 8452 14791 16904 19777 29582 33808 39554 59164 61277 79108 118328 122554 138439 158216 236656 245108 276878 316432 428939 490216 553756 573533 857878 980432 1107512 1147066 1715756 2215024 2294132 3431512 4014731 4588264 6863024 8029462 9176528 16058924 32117848 41788801 64235696 83577602 167155204 292521607 334310408 585043214 668620816 1170086428 1211875229 2340172856 2423750458 4680345712 4847500916 8483126603 9695001832 16966253206 19390003664 33932506412 67865012824 135730025648