Search a number
-
+
68952235716 = 223372132343577
BaseRepresentation
bin100000000110111011…
…1111001111011000100
320120222101210111111000
41000031313321323010
52112203233020331
651402021413300
74660462222200
oct1001567717304
9216871714430
1068952235716
1127273815281
1211443b6a230
13666b3558a0
1434a17d3b00
151bd86470e6
hex100ddf9ec4

68952235716 has 288 divisors, whose sum is σ = 233689639680. Its totient is φ = 17394144768.

The previous prime is 68952235673. The next prime is 68952235721. The reversal of 68952235716 is 61753225986.

68952235716 is a `hidden beast` number, since 6 + 89 + 522 + 35 + 7 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1560520 + ... + 1604096.

It is an arithmetic number, because the mean of its divisors is an integer number (811422360).

Almost surely, 268952235716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68952235716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116844819840).

68952235716 is an abundant number, since it is smaller than the sum of its proper divisors (164737403964).

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

68952235716 is a wasteful number, since it uses less digits than its factorization.

68952235716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43640 (or 43625 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 68952235716 in words is "sixty-eight billion, nine hundred fifty-two million, two hundred thirty-five thousand, seven hundred sixteen".