Search a number
-
+
46322016356 = 22711374319431
BaseRepresentation
bin101011001001000000…
…011110000001100100
311102120021001020120102
4223021000132001210
51224331414010411
633140253323232
73226621433240
oct531100360144
9142507036512
1046322016356
1118710630550
128b89196518
1344a2a87245
142356081420
151311a2bd3b
hexac901e064

46322016356 has 96 divisors (see below), whose sum is σ = 104049598464. Its totient is φ = 17517168000.

The previous prime is 46322016331. The next prime is 46322016373. The reversal of 46322016356 is 65361022364.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 4906961 + ... + 4916391.

It is an arithmetic number, because the mean of its divisors is an integer number (1083849984).

Almost surely, 246322016356 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 46322016356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52024799232).

46322016356 is an abundant number, since it is smaller than the sum of its proper divisors (57727582108).

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

46322016356 is a wasteful number, since it uses less digits than its factorization.

46322016356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9921 (or 9919 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 46322016356 in words is "forty-six billion, three hundred twenty-two million, sixteen thousand, three hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 431 518 814 862 1036 1628 1724 2849 3017 4741 5698 6034 9431 9482 11396 12068 15947 18862 18964 31894 33187 37724 63788 66017 66374 103741 111629 132034 132748 175417 207482 223258 264068 348947 350834 414964 446516 697894 701668 726187 1227919 1395788 1452374 2442629 2455838 2904748 3838417 4064761 4885258 4911676 7676834 8129522 9770516 15353668 16259044 26868919 28453327 44712371 53737838 56906654 89424742 107475676 113813308 150396157 178849484 300792314 312986597 601584628 625973194 1052773099 1251946388 1654357727 2105546198 3308715454 4211092396 6617430908 11580504089 23161008178 46322016356