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12290384254950 = 2345243737971213
BaseRepresentation
bin1011001011011001001111…
…1111001101011111100110
31121111221122000021200010000
42302312103333031133212
53102331201332124300
642050042524242130
72405644115316624
oct262662377153746
947457560250100
1012290384254950
113a0936055856a
121465b609a0346
136b1c9431bb09
14306c01a24514
15164a7b324c00
hexb2d93fcd7e6

12290384254950 has 480 divisors, whose sum is σ = 35495581324896. Its totient is φ = 3150802851840.

The previous prime is 12290384254949. The next prime is 12290384254969. The reversal of 12290384254950 is 5945248309221.

12290384254950 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 0 + 3 + 8 + 42 + 549 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10132220544 + ... + 10132221756.

Almost surely, 212290384254950 is an apocalyptic number.

12290384254950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12290384254950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747790662448).

12290384254950 is an abundant number, since it is smaller than the sum of its proper divisors (23205197069946).

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

12290384254950 is a wasteful number, since it uses less digits than its factorization.

12290384254950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 12290384254950 in words is "twelve trillion, two hundred ninety billion, three hundred eighty-four million, two hundred fifty-four thousand, nine hundred fifty".