Search a number
-
+
993737142412 = 227315370930467
BaseRepresentation
bin11100111010111110101…
…10010111000010001100
310112000000020202021222121
432131133112113002030
5112240133202024122
62040303323422324
7131536506225010
oct16353726270214
93460006667877
10993737142412
1135349478a333
121407146849a4
137292a907c51
1436150772540
151acb1a09bc7
hexe75f59708c

993737142412 has 96 divisors (see below), whose sum is σ = 2093312471040. Its totient is φ = 403789052160.

The previous prime is 993737142407. The next prime is 993737142421. The reversal of 993737142412 is 214241737399.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 993737142412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32601603 + ... + 32632069.

It is an arithmetic number, because the mean of its divisors is an integer number (21805338240).

Almost surely, 2993737142412 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 993737142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046656235520).

993737142412 is an abundant number, since it is smaller than the sum of its proper divisors (1099575328628).

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

993737142412 is a wasteful number, since it uses less digits than its factorization.

993737142412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31271 (or 31269 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

The spelling of 993737142412 in words is "nine hundred ninety-three billion, seven hundred thirty-seven million, one hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 31 53 62 106 124 212 217 371 434 709 742 868 1418 1484 1643 2836 3286 4963 6572 9926 11501 19852 21979 23002 30467 37577 43958 46004 60934 75154 87916 121868 150308 153853 213269 263039 307706 426538 526078 615412 853076 944477 1052156 1164887 1614751 1888954 2329774 3229502 3777908 4659548 6459004 6611339 8154209 11303257 13222678 16308418 21601103 22606514 26445356 32616836 43202206 45213028 50057281 86404412 100114562 151207721 200229124 302415442 350400967 604830884 669634193 700801934 1144858459 1339268386 1401603868 2289716918 2678536772 4579433836 4687439351 8014009213 9374878702 16028018426 18749757404 32056036852 35490612229 70981224458 141962448916 248434285603 496868571206 993737142412