Search a number
-
+
46796072976 = 243620032
BaseRepresentation
bin101011100101010000…
…110110100000010000
311110210022001211000000
4223211100312200100
51231314243313401
633255310130000
73244436025432
oct534520664020
9143708054000
1046796072976
1118934188284
12909bab0900
13454a057913
14239d002652
15133d46d186
hexae5436810

46796072976 has 105 divisors (see below), whose sum is σ = 136006802479. Its totient is φ = 15590903328.

The previous prime is 46796072929. The next prime is 46796072989. The reversal of 46796072976 is 67927069764.

The square root of 46796072976 is 216324.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 23361991 + ... + 23363993.

Almost surely, 246796072976 is an apocalyptic number.

46796072976 is the 216324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46796072976

46796072976 is an abundant number, since it is smaller than the sum of its proper divisors (89210729503).

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

46796072976 is an frugal number, since it uses more digits than its factorization.

46796072976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 46796072976 in words is "forty-six billion, seven hundred ninety-six million, seventy-two thousand, nine hundred seventy-six".

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 2003 2916 3888 4006 5832 6009 8012 11664 12018 16024 18027 24036 32048 36054 48072 54081 72108 96144 108162 144216 162243 216324 288432 324486 432648 486729 648972 865296 973458 1297944 1460187 1946916 2595888 2920374 3893832 4012009 5840748 7787664 8024018 11681496 12036027 16048036 23362992 24072054 32096072 36108081 48144108 64192144 72216162 96288216 108324243 144432324 192576432 216648486 288864648 324972729 433296972 577729296 649945458 866593944 974918187 1299890916 1733187888 1949836374 2599781832 2924754561 3899672748 5199563664 5849509122 7799345496 11699018244 15598690992 23398036488 46796072976