Search a number
-
+
656638114050 = 23352486398603
BaseRepresentation
bin10011000111000101010…
…11100111100100000010
32022202220020110100201000
421203202223213210002
541224243324122200
61221353321352430
765304050606652
oct11434253474402
92282806410630
10656638114050
1123352a107a16
12a7316938716
1349bc7a47b69
1423ad244c362
1512132396300
hex98e2ae7902

656638114050 has 48 divisors (see below), whose sum is σ = 1809402806880. Its totient is φ = 175103496720.

The previous prime is 656638114031. The next prime is 656638114061. The reversal of 656638114050 is 50411836656.

656638114050 is a `hidden beast` number, since 6 + 5 + 6 + 638 + 1 + 1 + 4 + 0 + 5 + 0 = 666.

It is a super-2 number, since 2×6566381140502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 656638113987 and 656638114005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243197952 + ... + 243200651.

It is an arithmetic number, because the mean of its divisors is an integer number (37695891810).

Almost surely, 2656638114050 is an apocalyptic number.

656638114050 is an abundant number, since it is smaller than the sum of its proper divisors (1152764692830).

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

656638114050 is a wasteful number, since it uses less digits than its factorization.

656638114050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486398624 (or 486398613 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 656638114050 in words is "six hundred fifty-six billion, six hundred thirty-eight million, one hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 486398603 972797206 1459195809 2431993015 2918391618 4377587427 4863986030 7295979045 8755174854 12159965075 13132762281 14591958090 21887937135 24319930150 26265524562 36479895225 43775874270 65663811405 72959790450 109439685675 131327622810 218879371350 328319057025 656638114050