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502034204412 = 22321319131118059
BaseRepresentation
bin1110100111000111001…
…00100000011011111100
31202222211121221000002200
413103203210200123330
531211131224020122
61022344211151500
751161606220426
oct7234344403374
91688747830080
10502034204412
11183a03247374
128136a2a5590
133845970ca20
141a427463816
15d0d45005ac
hex74e39206fc

502034204412 has 144 divisors (see below), whose sum is σ = 1378297589760. Its totient is φ = 153160732800.

The previous prime is 502034204389. The next prime is 502034204423. The reversal of 502034204412 is 214402430205.

502034204412 is a `hidden beast` number, since 5 + 0 + 203 + 42 + 0 + 4 + 412 = 666.

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, 27790639 + ... + 27808697.

It is an arithmetic number, because the mean of its divisors is an integer number (9571511040).

Almost surely, 2502034204412 is an apocalyptic number.

502034204412 is a gapful number since it is divisible by the number (52) 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 502034204412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689148794880).

502034204412 is an abundant number, since it is smaller than the sum of its proper divisors (876263385348).

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

502034204412 is a wasteful number, since it uses less digits than its factorization.

502034204412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18584 (or 18579 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 502034204412 its reverse (214402430205), we get a palindrome (716436634617).

The spelling of 502034204412 in words is "five hundred two billion, thirty-four million, two hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 191 234 311 382 468 573 622 764 933 1146 1244 1719 1866 2292 2483 2799 3438 3732 4043 4966 5598 6876 7449 8086 9932 11196 12129 14898 16172 18059 22347 24258 29796 36118 36387 44694 48516 54177 59401 72236 72774 89388 108354 118802 145548 162531 178203 216708 234767 237604 325062 356406 469534 534609 650124 704301 712812 772213 939068 1069218 1408602 1544426 2112903 2138436 2316639 2817204 3088852 3449269 4225806 4633278 5616349 6898538 6949917 8451612 9266556 10347807 11232698 13797076 13899834 16849047 20695614 22465396 27799668 31043421 33698094 41391228 44840497 50547141 62086842 67396188 73012537 89680994 101094282 124173684 134521491 146025074 179361988 202188564 219037611 269042982 292050148 403564473 438075222 538085964 657112833 807128946 876150444 1072722659 1314225666 1614257892 2145445318 2628451332 3218167977 4290890636 6436335954 9654503931 12872671908 13945394567 19309007862 27890789134 38618015724 41836183701 55781578268 83672367402 125508551103 167344734804 251017102206 502034204412