Search a number
-
+
316797989976 = 233813464279
BaseRepresentation
bin1001001110000101010…
…00011011010001011000
31010021201012022100000000
410213002220123101120
520142300241134401
6401311320213000
731613356325136
oct4470250332130
91107635270000
10316797989976
1111239822a846
125149300a160
1323b49012b50
1411494078756
158392281186
hex49c2a1b458

316797989976 has 144 divisors (see below), whose sum is σ = 959485690800. Its totient is φ = 97476094656.

The previous prime is 316797989917. The next prime is 316797989987. The reversal of 316797989976 is 679989797613.

It is a happy number.

316797989976 is a `hidden beast` number, since 316 + 79 + 79 + 89 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 316797989895 and 316797989904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 450205 + ... + 914483.

It is an arithmetic number, because the mean of its divisors is an integer number (6663095075).

Almost surely, 2316797989976 is an apocalyptic number.

316797989976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316797989976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479742845400).

316797989976 is an abundant number, since it is smaller than the sum of its proper divisors (642687700824).

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

316797989976 is an equidigital number, since it uses as much as digits as its factorization.

316797989976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464322 (or 464297 counting only the distinct ones).

The product of its digits is 1944365472, while the sum is 81.

The spelling of 316797989976 in words is "three hundred sixteen billion, seven hundred ninety-seven million, nine hundred eighty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2187 2808 2916 3159 4212 4374 5832 6318 6561 8424 8748 9477 12636 13122 17496 18954 25272 26244 28431 37908 52488 56862 75816 85293 113724 170586 227448 341172 464279 682344 928558 1392837 1857116 2785674 3714232 4178511 5571348 6035627 8357022 11142696 12071254 12535533 16714044 18106881 24142508 25071066 33428088 36213762 37606599 48285016 50142132 54320643 72427524 75213198 100284264 108641286 112819797 144855048 150426396 162961929 217282572 225639594 300852792 325923858 338459391 434565144 451279188 488885787 651847716 676918782 902558376 977771574 1015378173 1303695432 1353837564 1466657361 1955543148 2030756346 2707675128 2933314722 3046134519 3911086296 4061512692 4399972083 5866629444 6092269038 8123025384 8799944166 11733258888 12184538076 13199916249 17599888332 24369076152 26399832498 35199776664 39599748747 52799664996 79199497494 105599329992 158398994988 316797989976