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438245846454 = 2313192143310861
BaseRepresentation
bin1100110000010010111…
…11001110110110110110
31112220012002212200012110
412120021133032312312
524140011414041304
6533154413231450
743443066142353
oct6301137166666
91486162780173
10438245846454
1115994a39a969
1270b27792586
1332432163510
14172d57cd62a
15b5ee3d1289
hex66097cedb6

438245846454 has 96 divisors (see below), whose sum is σ = 996995520864. Its totient is φ = 127646876160.

The previous prime is 438245846447. The next prime is 438245846483. The reversal of 438245846454 is 454648542834.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 438245846394 and 438245846403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40344984 + ... + 40355844.

It is an arithmetic number, because the mean of its divisors is an integer number (10385370009).

Almost surely, 2438245846454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438245846454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498497760432).

438245846454 is an abundant number, since it is smaller than the sum of its proper divisors (558749674410).

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

438245846454 is a wasteful number, since it uses less digits than its factorization.

438245846454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12350 (or 12331 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 57.

The spelling of 438245846454 in words is "four hundred thirty-eight billion, two hundred forty-five million, eight hundred forty-six thousand, four hundred fifty-four".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 361 494 722 741 1083 1433 1482 2166 2866 4299 4693 8598 9386 10861 14079 18629 21722 27227 28158 32583 37258 54454 55887 65166 81681 111774 141193 163362 206359 282386 353951 412718 423579 517313 619077 707902 847158 1034626 1061853 1238154 1551939 2123706 2682667 3103878 3920821 5365334 6725069 7841642 8048001 11762463 13450138 15563813 16096002 20175207 23524926 31127626 40350414 46691439 50970673 93382878 101941346 152912019 202329569 295712447 305824038 404659138 591424894 606988707 887137341 1213977414 1774274682 3844261811 5618536493 7688523622 11237072986 11532785433 16855609479 23065570866 33711218958 73040974409 146081948818 219122923227 438245846454