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2421875005952 = 2931349943609
BaseRepresentation
bin100011001111100010111…
…111111101101000000000
322120112021122002122211112
4203033202333331220000
5304140000000142302
65052332150302452
7336655214613443
oct43174277755000
98515248078745
102421875005952
118541253369a6
12331461057a28
131474c6b6c5cc
148530dd7765a
1542eea064552
hex233e2ffda00

2421875005952 has 80 divisors (see below), whose sum is σ = 4996659360000. Its totient is φ = 1171513221120.

The previous prime is 2421875005939. The next prime is 2421875005961. The reversal of 2421875005952 is 2595005781242.

It is a self number, because there is not a number n which added to its sum of digits gives 2421875005952.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55514324 + ... + 55557932.

It is an arithmetic number, because the mean of its divisors is an integer number (62458242000).

Almost surely, 22421875005952 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 2421875005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498329680000).

2421875005952 is an abundant number, since it is smaller than the sum of its proper divisors (2574784354048).

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

2421875005952 is an equidigital number, since it uses as much as digits as its factorization.

2421875005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47157 (or 47141 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 50.

The spelling of 2421875005952 in words is "two trillion, four hundred twenty-one billion, eight hundred seventy-five million, five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3499 3968 6998 7936 13996 15872 27992 43609 55984 87218 108469 111968 174436 216938 223936 348872 433876 447872 697744 867752 895744 1351879 1395488 1735504 1791488 2703758 2790976 3471008 5407516 5581952 6942016 10815032 11163904 13884032 21630064 22327808 27768064 43260128 55536128 86520256 152587891 173040512 305175782 346081024 610351564 692162048 1220703128 2441406256 4730224621 4882812512 9460449242 9765625024 18920898484 19531250048 37841796968 39062500096 75683593936 78125000192 151367187872 302734375744 605468751488 1210937502976 2421875005952