Search a number
-
+
16648583412072 = 23310737391733911
BaseRepresentation
bin1111001001000100110011…
…1001100111100101101000
32011221120220101212220112010
43302101030321213211220
54140232244323141242
655224130441315520
73335551263035343
oct362211471474550
964846811786463
1016648583412072
115339696343597
121a4a734a95ba0
13939c54579711
14417b1d70345a
151dd10406d89c
hexf244ce67968

16648583412072 has 64 divisors (see below), whose sum is σ = 42021704102400. Its totient is φ = 5496189531840.

The previous prime is 16648583412053. The next prime is 16648583412073. The reversal of 16648583412072 is 27021438584661.

16648583412072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16648583412073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8734797 + ... + 10468707.

It is an arithmetic number, because the mean of its divisors is an integer number (656589126600).

Almost surely, 216648583412072 is an apocalyptic number.

16648583412072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16648583412072 is an abundant number, since it is smaller than the sum of its proper divisors (25373120690328).

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

16648583412072 is a wasteful number, since it uses less digits than its factorization.

16648583412072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737766 (or 1737762 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 16648583412072 in words is "sixteen trillion, six hundred forty-eight billion, five hundred eighty-three million, four hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 2568 3739 7478 11217 14956 22434 29912 44868 89736 400073 800146 1200219 1600292 1733911 2400438 3200584 3467822 4800876 5201733 6935644 9601752 10403466 13871288 20806932 41613864 185528477 371056954 556585431 742113908 1113170862 1484227816 2226341724 4452683448 6483093229 12966186458 19449279687 25932372916 38898559374 51864745832 77797118748 155594237496 693690975503 1387381951006 2081072926509 2774763902012 4162145853018 5549527804024 8324291706036 16648583412072