Search a number
-
+
16620405846 = 23112375910487
BaseRepresentation
bin11110111101010011…
…10100010001010110
31120220022020002121220
433132221310101112
5233014310441341
611345120551210
71125604055502
oct173651642126
946808202556
1016620405846
117059870a00
12327a182506
13174b477b95
14b3950b302
156741e4a66
hex3dea74456

16620405846 has 96 divisors (see below), whose sum is σ = 38164573440. Its totient is φ = 4816848960.

The previous prime is 16620405829. The next prime is 16620405859. The reversal of 16620405846 is 64850402661.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16620405798 and 16620405807.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1579615 + ... + 1590101.

It is an arithmetic number, because the mean of its divisors is an integer number (397547640).

Almost surely, 216620405846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16620405846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19082286720).

16620405846 is an abundant number, since it is smaller than the sum of its proper divisors (21544167594).

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

16620405846 is a wasteful number, since it uses less digits than its factorization.

16620405846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10610 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 16620405846 in words is "sixteen billion, six hundred twenty million, four hundred five thousand, eight hundred forty-six".

Divisors: 1 2 3 6 11 22 33 37 59 66 74 111 118 121 177 222 242 354 363 407 649 726 814 1221 1298 1947 2183 2442 3894 4366 4477 6549 7139 8954 10487 13098 13431 14278 20974 21417 24013 26862 31461 42834 48026 62922 72039 115357 144078 230714 264143 346071 388019 528286 618733 692142 776038 792429 1164057 1237466 1268927 1584858 1856199 2328114 2537854 3712398 3806781 4268209 6806063 7613562 8536418 12804627 13612126 20418189 22893121 25609254 40836378 45786242 46950299 68679363 74866693 93900598 137358726 140850897 149733386 224600079 251824331 281701794 449200158 503648662 755472993 1510945986 2770067641 5540135282 8310202923 16620405846