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46051443216 = 243619872
BaseRepresentation
bin101010111000111000…
…010100001000010000
311101212101220201000000
4222320320110020100
51223303132140331
633053350130000
73220124544252
oct527070241020
9141771821000
1046051443216
1118591925989
128b12650900
13445b9c05ac
14232c16bcd2
1512e7dd20e6
hexab8e14210

46051443216 has 105 divisors (see below), whose sum is σ = 133843169631. Its totient is φ = 15342755616.

The previous prime is 46051443169. The next prime is 46051443239. The reversal of 46051443216 is 61234415064.

The square root of 46051443216 is 214596.

It is a perfect power (a square), and thus also a powerful number.

46051443216 is a `hidden beast` number, since 4 + 605 + 1 + 4 + 4 + 32 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 23175375 + ... + 23177361.

Almost surely, 246051443216 is an apocalyptic number.

46051443216 is the 214596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46051443216

46051443216 is an abundant number, since it is smaller than the sum of its proper divisors (87791726415).

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

46051443216 is an frugal number, since it uses more digits than its factorization.

46051443216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 46051443216 by its sum of digits (36), we get a square (1657851955776 = 12875762).

46051443216 divided by its sum of digits (36) gives a square (1279206756 = 357662).

The spelling of 46051443216 in words is "forty-six billion, fifty-one million, four hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 1987 2916 3888 3974 5832 5961 7948 11664 11922 15896 17883 23844 31792 35766 47688 53649 71532 95376 107298 143064 160947 214596 286128 321894 429192 482841 643788 858384 965682 1287576 1448523 1931364 2575152 2897046 3862728 3948169 5794092 7725456 7896338 11588184 11844507 15792676 23176368 23689014 31585352 35533521 47378028 63170704 71067042 94756056 106600563 142134084 189512112 213201126 284268168 319801689 426402252 568536336 639603378 852804504 959405067 1279206756 1705609008 1918810134 2558413512 2878215201 3837620268 5116827024 5756430402 7675240536 11512860804 15350481072 23025721608 46051443216