Search a number
-
+
46085717216 = 2571121989491
BaseRepresentation
bin101010111010111011…
…000011110011100000
311101221210102000002102
4222322323003303200
51223340420422331
633101012505532
73221022063410
oct527273036340
9141853360072
1046085717216
11185aa205500
128b2201b2a8
134465b30a76
142332930640
1512eae024cb
hexabaec3ce0

46085717216 has 144 divisors (see below), whose sum is σ = 119976554880. Its totient is φ = 17010259200.

The previous prime is 46085717213. The next prime is 46085717243. The reversal of 46085717216 is 61271758064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46085717213) 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 23 ways as a sum of consecutive naturals, for example, 470231 + ... + 559721.

It is an arithmetic number, because the mean of its divisors is an integer number (833170520).

Almost surely, 246085717216 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 46085717216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59988277440).

46085717216 is an abundant number, since it is smaller than the sum of its proper divisors (73890837664).

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

46085717216 is a wasteful number, since it uses less digits than its factorization.

46085717216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89549 (or 89530 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 46085717216 in words is "forty-six billion, eighty-five million, seven hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 121 133 152 154 176 209 224 242 266 304 308 352 418 484 532 608 616 836 847 968 1064 1232 1463 1672 1694 1936 2128 2299 2464 2926 3344 3388 3872 4256 4598 5852 6688 6776 9196 11704 13552 16093 18392 23408 27104 32186 36784 46816 64372 73568 89491 128744 178982 257488 357964 514976 626437 715928 984401 1252874 1431856 1700329 1968802 2505748 2863712 3400658 3937604 5011496 6801316 6890807 7875208 10022992 10828411 11902303 13602632 13781614 15750416 18703619 20045984 21656822 23804606 27205264 27563228 31500832 37407238 43313644 47609212 54410528 55126456 74814476 75798877 86627288 95218424 110252912 130925333 149628952 151597754 173254576 190436848 205739809 220505824 261850666 299257904 303195508 346509152 380873696 411479618 523701332 598515808 606391016 822959236 1047402664 1212782032 1440178663 1645918472 2094805328 2425564064 2880357326 3291836944 4189610656 5760714652 6583673888 11521429304 23042858608 46085717216