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638634814468 = 227617319326539
BaseRepresentation
bin10010100101100011001…
…10011110110000000100
32021001102120001222111121
421102301212132300010
540430411003030333
61205215040243324
764065652233040
oct11226146366004
92231376058447
10638634814468
11226930781532
12a3931610544
13482b8c30781
1422ca5403020
151192ba8a32d
hex94b199ec04

638634814468 has 96 divisors (see below), whose sum is σ = 1322860609280. Its totient is φ = 264140144640.

The previous prime is 638634814463. The next prime is 638634814487. The reversal of 638634814468 is 864418436836.

It is a happy number.

It is a super-3 number, since 3×6386348144683 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (638634814463) 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 31 ways as a sum of consecutive naturals, for example, 24050743 + ... + 24077281.

Almost surely, 2638634814468 is an apocalyptic number.

It is an amenable number.

638634814468 is an abundant number, since it is smaller than the sum of its proper divisors (684225794812).

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

638634814468 is a wasteful number, since it uses less digits than its factorization.

638634814468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26877 (or 26875 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 61.

The spelling of 638634814468 in words is "six hundred thirty-eight billion, six hundred thirty-four million, eight hundred fourteen thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 61 73 122 146 193 244 292 386 427 511 772 854 1022 1351 1708 2044 2702 4453 5404 8906 11773 14089 17812 23546 26539 28178 31171 47092 53078 56356 62342 82411 98623 106156 124684 164822 185773 197246 329644 371546 394492 743092 859429 1618879 1718858 1937347 3237758 3437716 3874694 5122027 6016003 6475516 7749388 10244054 11332153 12032006 13561429 20488108 22664306 24064012 27122858 35854189 45328612 54245716 71708378 118178167 143416756 236356334 312443647 373907971 472712668 624887294 747815942 827247169 1249774588 1495631884 1654494338 2187105529 2617355797 3308988676 4374211058 5234711594 8748422116 10469423188 22808386231 45616772462 91233544924 159658703617 319317407234 638634814468