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415005383712 = 25383200326003
BaseRepresentation
bin1100000101000000011…
…11111001110000100000
31110200012102211211202010
412002200033321300200
523244412334234322
6514352325352520
741661135362253
oct6024017716040
91420172754663
10415005383712
111500037a1267
1268520568740
133019a320a0a
141612cdc909a
15abdde2320c
hex60a03f9c20

415005383712 has 96 divisors (see below), whose sum is σ = 1103107154688. Its totient is φ = 136594954496.

The previous prime is 415005383687. The next prime is 415005383743. The reversal of 415005383712 is 217383500514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 15946903 + ... + 15972905.

It is an arithmetic number, because the mean of its divisors is an integer number (11490699528).

Almost surely, 2415005383712 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 415005383712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551553577344).

415005383712 is an abundant number, since it is smaller than the sum of its proper divisors (688101770976).

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

415005383712 is a wasteful number, since it uses less digits than its factorization.

415005383712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28102 (or 28094 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 415005383712 in words is "four hundred fifteen billion, five million, three hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2003 2656 3984 4006 6009 7968 8012 12018 16024 24036 26003 32048 48072 52006 64096 78009 96144 104012 156018 166249 192288 208024 312036 332498 416048 498747 624072 664996 832096 997494 1248144 1329992 1994988 2158249 2496288 2659984 3989976 4316498 5319968 6474747 7979952 8632996 12949494 15959904 17265992 25898988 34531984 51797976 52084009 69063968 103595952 104168018 156252027 207191904 208336036 312504054 416672072 625008108 833344144 1250016216 1666688288 2500032432 4322972747 5000064864 8645945494 12968918241 17291890988 25937836482 34583781976 51875672964 69167563952 103751345928 138335127904 207502691856 415005383712