Search a number
-
+
68954112432 = 2433443360307
BaseRepresentation
bin100000000110111111…
…1000100000110110000
320120222112022211212000
41000031333010012300
52112204223044212
651402125534000
74660514166522
oct1001577040660
9216875284760
1068954112432
1127274887287
1211444714300
13666b861b7a
1434a1b61a12
151bd88b81dc
hex100dfc41b0

68954112432 has 80 divisors (see below), whose sum is σ = 198371172480. Its totient is φ = 22932756288.

The previous prime is 68954112361. The next prime is 68954112433. The reversal of 68954112432 is 23421145986.

68954112432 is a `hidden beast` number, since 6 + 89 + 541 + 1 + 24 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (68954112433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11223 + ... + 371529.

It is an arithmetic number, because the mean of its divisors is an integer number (2479639656).

Almost surely, 268954112432 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 68954112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99185586240).

68954112432 is an abundant number, since it is smaller than the sum of its proper divisors (129417060048).

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

68954112432 is a wasteful number, since it uses less digits than its factorization.

68954112432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360767 (or 360755 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 68954112432 in words is "sixty-eight billion, nine hundred fifty-four million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 443 886 1329 1772 2658 3544 3987 5316 7088 7974 10632 11961 15948 21264 23922 31896 47844 63792 95688 191376 360307 720614 1080921 1441228 2161842 2882456 3242763 4323684 5764912 6485526 8647368 9728289 12971052 17294736 19456578 25942104 38913156 51884208 77826312 155652624 159616001 319232002 478848003 638464004 957696006 1276928008 1436544009 1915392012 2553856016 2873088018 3830784024 4309632027 5746176036 7661568048 8619264054 11492352072 17238528108 22984704144 34477056216 68954112432