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4205426193648 = 243251169570743
BaseRepresentation
bin111101001100100110111…
…011110011010011110000
3112220000221101022120202200
4331030212323303103300
51022400203101144043
612535540210143200
7612555244562511
oct75144673632360
915800841276680
104205426193648
1113815694a6429
1257b058881b00
13246754359384
14107787d44a08
15745d59c07d3
hex3d326ef34f0

4205426193648 has 60 divisors (see below), whose sum is σ = 11769603103440. Its totient is φ = 1401778879488.

The previous prime is 4205426193629. The next prime is 4205426193649. The reversal of 4205426193648 is 8463916245024.

4205426193648 is a `hidden beast` number, since 4 + 2 + 0 + 542 + 6 + 1 + 93 + 6 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4205426193594 and 4205426193603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205426193649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7082965 + ... + 7653707.

It is an arithmetic number, because the mean of its divisors is an integer number (196160051724).

Almost surely, 24205426193648 is an apocalyptic number.

4205426193648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4205426193648 is an abundant number, since it is smaller than the sum of its proper divisors (7564176909792).

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

4205426193648 is a wasteful number, since it uses less digits than its factorization.

4205426193648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621926 (or 621917 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4205426193648 in words is "four trillion, two hundred five billion, four hundred twenty-six million, one hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 51169 102338 153507 204676 307014 409352 460521 570743 614028 818704 921042 1141486 1228056 1712229 1842084 2282972 2456112 3424458 3684168 4565944 5136687 6848916 7368336 9131888 10273374 13697832 20546748 27395664 41093496 82186992 29204348567 58408697134 87613045701 116817394268 175226091402 233634788536 262839137103 350452182804 467269577072 525678274206 700904365608 1051356548412 1401808731216 2102713096824 4205426193648