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494168435928 = 233431199123619
BaseRepresentation
bin1110011000011101011…
…10111110110011011000
31202020112110002120020000
413030032232332303120
531044024104422203
61015003504333000
750462645253666
oct7141656766330
91666473076200
10494168435928
11180637221062
127b934014160
13377a4c3744b
1419cbc93bc36
15ccc3bbc4a3
hex730ebbecd8

494168435928 has 160 divisors (see below), whose sum is σ = 1435969920000. Its totient is φ = 158606838720.

The previous prime is 494168435869. The next prime is 494168435983. The reversal of 494168435928 is 829534861494.

494168435928 is a `hidden beast` number, since 494 + 16 + 8 + 43 + 5 + 92 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3935703 + ... + 4059321.

It is an arithmetic number, because the mean of its divisors is an integer number (8974812000).

Almost surely, 2494168435928 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 494168435928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717984960000).

494168435928 is an abundant number, since it is smaller than the sum of its proper divisors (941801484072).

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

494168435928 is a wasteful number, since it uses less digits than its factorization.

494168435928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123867 (or 123854 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 494168435928 in words is "four hundred ninety-four billion, one hundred sixty-eight million, four hundred thirty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 199 216 248 279 324 372 398 558 597 648 744 796 837 1116 1194 1592 1674 1791 2232 2388 2511 3348 3582 4776 5022 5373 6169 6696 7164 10044 10746 12338 14328 16119 18507 20088 21492 24676 32238 37014 42984 49352 55521 64476 74028 111042 123619 128952 148056 166563 222084 247238 333126 370857 444168 494476 499689 666252 741714 988952 999378 1112571 1332504 1483428 1998756 2225142 2966856 3337713 3832189 3997512 4450284 6675426 7664378 8900568 10013139 11496567 13350852 15328756 20026278 22993134 24600181 26701704 30657512 34489701 40052556 45986268 49200362 68979402 73800543 80105112 91972536 98400724 103469103 137958804 147601086 196801448 206938206 221401629 275917608 295202172 310407309 413876412 442803258 590404344 620814618 664204887 762605611 827752824 885606516 1241629236 1328409774 1525211222 1771213032 1992614661 2287816833 2483258472 2656819548 3050422444 3985229322 4575633666 5313639096 6100844888 6863450499 7970458644 9151267332 13726900998 15940917288 18302534664 20590351497 27453801996 41180702994 54907603992 61771054491 82361405988 123542108982 164722811976 247084217964 494168435928