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313219691392 = 277321513041
BaseRepresentation
bin1001000111011010101…
…10010011001110000000
31002221110211002221010211
410203231112103032000
520112433220111032
6355520253003504
731425606306556
oct4435526231600
91087424087124
10313219691392
11110921394093
1250854783594
13236c88906ca
1411234b37bd6
158233059747
hex48ed593380

313219691392 has 96 divisors (see below), whose sum is σ = 637056491760. Its totient is φ = 153391104000.

The previous prime is 313219691387. The next prime is 313219691399. The reversal of 313219691392 is 293196912313.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313219691399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102997392 + ... + 103000432.

Almost surely, 2313219691392 is an apocalyptic number.

313219691392 is a gapful number since it is divisible by the number (32) 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 313219691392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318528245880).

313219691392 is an abundant number, since it is smaller than the sum of its proper divisors (323836800368).

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

313219691392 is an equidigital number, since it uses as much as digits as its factorization.

313219691392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3267 counting only the distinct ones).

The product of its digits is 472392, while the sum is 49.

The spelling of 313219691392 in words is "three hundred thirteen billion, two hundred nineteen million, six hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 151 292 302 584 604 1168 1208 2336 2416 3041 4672 4832 5329 6082 9344 9664 10658 11023 12164 19328 21316 22046 24328 42632 44092 48656 85264 88184 97312 170528 176368 194624 221993 341056 352736 389248 443986 459191 682112 705472 804679 887972 918382 1410944 1609358 1775944 1836764 3218716 3551888 3673528 6437432 7103776 7347056 12874864 14207552 14694112 16205489 25749728 28415104 29388224 32410978 33520943 51499456 58776448 64821956 67041886 102998912 129643912 134083772 259287824 268167544 518575648 536335088 1037151296 1072670176 2074302592 2145340352 2447028839 4290680704 4894057678 9788115356 19576230712 39152461424 78304922848 156609845696 313219691392