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500120413104 = 243131181678641
BaseRepresentation
bin1110100011100010111…
…11111110001110110000
31202210220020210022222010
413101301133332032300
531143221311204404
61021430244042520
751063310241064
oct7216137761660
91683806708863
10500120413104
11183110a31664
1280b15393440
133821308aa30
141a2c5209aa4
15d0214bb189
hex74717fe3b0

500120413104 has 80 divisors (see below), whose sum is σ = 1392540809184. Its totient is φ = 153752678400.

The previous prime is 500120413097. The next prime is 500120413129. The reversal of 500120413104 is 401314021005.

It is a super-2 number, since 2×5001204131042 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 397624 + ... + 1076264.

Almost surely, 2500120413104 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 500120413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696270404592).

500120413104 is an abundant number, since it is smaller than the sum of its proper divisors (892420396080).

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

500120413104 is a wasteful number, since it uses less digits than its factorization.

500120413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679846 (or 679840 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 500120413104 its reverse (401314021005), we get a palindrome (901434434109).

The spelling of 500120413104 in words is "five hundred billion, one hundred twenty million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1181 2362 3543 4724 7086 9448 14172 15353 18896 28344 30706 46059 56688 61412 92118 122824 184236 245648 368472 678641 736944 1357282 2035923 2714564 4071846 5429128 8143692 8822333 10858256 16287384 17644666 26466999 32574768 35289332 52933998 70578664 105867996 141157328 211735992 423471984 801475021 1602950042 2404425063 3205900084 4808850126 6411800168 9617700252 10419175273 12823600336 19235400504 20838350546 31257525819 38470801008 41676701092 62515051638 83353402184 125030103276 166706804368 250060206552 500120413104