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309987127312 = 24314996731861
BaseRepresentation
bin1001000001011001010…
…11000011000000010000
31002122010112110122212021
410200230223003000100
520034323201033222
6354223415541224
731252525051522
oct4405453030020
91078115418767
10309987127312
1110a512719925
12500b208a814
1323301c5cab5
14110096b3a12
1580e4377ac7
hex482cac3010

309987127312 has 80 divisors (see below), whose sum is σ = 622474048000. Its totient is φ = 149390438400.

The previous prime is 309987127309. The next prime is 309987127321. The reversal of 309987127312 is 213721789903.

It is a self number, because there is not a number n which added to its sum of digits gives 309987127312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166569262 + ... + 166571122.

It is an arithmetic number, because the mean of its divisors is an integer number (7780925600).

Almost surely, 2309987127312 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 309987127312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311237024000).

309987127312 is an abundant number, since it is smaller than the sum of its proper divisors (312486920688).

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

309987127312 is a wasteful number, since it uses less digits than its factorization.

309987127312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 309987127312 in words is "three hundred nine billion, nine hundred eighty-seven million, one hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 496 499 673 998 1346 1861 1996 2692 3722 3992 5384 7444 7984 10768 14888 15469 20863 29776 30938 41726 57691 61876 83452 115382 123752 166904 230764 247504 333808 335827 461528 671654 923056 928639 1252453 1343308 1857278 2504906 2686616 3714556 5009812 5373232 7429112 10019624 10410637 14858224 20039248 20821274 28787809 38826043 41642548 57575618 77652086 83285096 115151236 155304172 166570192 230302472 310608344 460604944 621216688 624974047 1249948094 2499896188 4999792376 9999584752 19374195457 38748390914 77496781828 154993563656 309987127312