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23016491460 = 223252323332383
BaseRepresentation
bin10101011011111000…
…111100100111000100
32012102001120220121200
4111123320330213010
5334114210211320
614323523142500
71443240643434
oct253370744704
965361526550
1023016491460
119841233776
124564214a30
13222a614621
141184b822c4
158ea9bb290
hex55be3c9c4

23016491460 has 144 divisors (see below), whose sum is σ = 72914010624. Its totient is φ = 5865894144.

The previous prime is 23016491423. The next prime is 23016491461. The reversal of 23016491460 is 6419461032.

23016491460 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 649 + 1 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23016491461) 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 47 ways as a sum of consecutive naturals, for example, 9657429 + ... + 9659811.

It is an arithmetic number, because the mean of its divisors is an integer number (506347296).

Almost surely, 223016491460 is an apocalyptic number.

23016491460 is a gapful number since it is divisible by the number (20) 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 23016491460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36457005312).

23016491460 is an abundant number, since it is smaller than the sum of its proper divisors (49897519164).

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

23016491460 is a wasteful number, since it uses less digits than its factorization.

23016491460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 23016491460 in words is "twenty-three billion, sixteen million, four hundred ninety-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 2333 2383 4140 4666 4766 6999 7149 9332 9532 11665 11915 13998 14298 20997 21447 23330 23830 27996 28596 34995 35745 41994 42894 46660 47660 53659 54809 69990 71490 83988 85788 104985 107235 107318 109618 139980 142980 160977 164427 209970 214470 214636 219236 268295 274045 321954 328854 419940 428940 482931 493281 536590 548090 643908 657708 804885 822135 965862 986562 1073180 1096180 1609770 1644270 1931724 1973124 2414655 2466405 3219540 3288540 4829310 4932810 5559539 9658620 9865620 11119078 16678617 22238156 27797695 33357234 50035851 55595390 66714468 83393085 100071702 111190780 127869397 166786170 200143404 250179255 255738794 333572340 383608191 500358510 511477588 639346985 767216382 1000717020 1150824573 1278693970 1534432764 1918040955 2301649146 2557387940 3836081910 4603298292 5754122865 7672163820 11508245730 23016491460