Search a number
-
+
19716922368 = 2103311134987
BaseRepresentation
bin10010010111001110…
…000101110000000000
31212220002212102202000
4102113032011300000
5310340013003433
613020254024000
71265414034453
oct222716056000
955802772660
1019716922368
1183a8763670
1239a31a8000
131b22b53490
14d5087949a
157a5ea1113
hex497385c00

19716922368 has 352 divisors, whose sum is σ = 68614129920. Its totient is φ = 5514117120.

The previous prime is 19716922363. The next prime is 19716922369. The reversal of 19716922368 is 86322961791.

19716922368 is a `hidden beast` number, since 197 + 1 + 6 + 92 + 2 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19716922361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3951171 + ... + 3956157.

Almost surely, 219716922368 is an apocalyptic number.

19716922368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19716922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34307064960).

19716922368 is an abundant number, since it is smaller than the sum of its proper divisors (48897207552).

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

19716922368 is a wasteful number, since it uses less digits than its factorization.

19716922368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5016 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 19716922368 in words is "nineteen billion, seven hundred sixteen million, nine hundred twenty-two thousand, three hundred sixty-eight".