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68774774418 = 232713115672659
BaseRepresentation
bin100000000001101001…
…0111100011010010010
320120112000212112100100
41000003102330122102
52111322320240133
651332242033230
74653205636260
oct1000322743222
9216460775310
1068774774418
1127192626a49
12113b4648816
1366406603bc
143485ddb430
151bc7c90e13
hex10034bc692

68774774418 has 96 divisors (see below), whose sum is σ = 171773521920. Its totient is φ = 19480163040.

The previous prime is 68774774417. The next prime is 68774774479. The reversal of 68774774418 is 81447747786.

It is a happy number.

68774774418 is a `hidden beast` number, since 6 + 87 + 74 + 7 + 74 + 418 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (68774774417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25863573 + ... + 25866231.

It is an arithmetic number, because the mean of its divisors is an integer number (1789307520).

Almost surely, 268774774418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68774774418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85886760960).

68774774418 is an abundant number, since it is smaller than the sum of its proper divisors (102998747502).

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

68774774418 is a wasteful number, since it uses less digits than its factorization.

68774774418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4369 counting only the distinct ones).

The product of its digits is 59006976, while the sum is 63.

The spelling of 68774774418 in words is "sixty-eight billion, seven hundred seventy-four million, seven hundred seventy-four thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1567 1834 2358 2659 2751 3134 4701 5318 5502 7977 8253 9402 10969 14103 15954 16506 18613 21938 23931 28206 32907 37226 47862 55839 65814 98721 111678 167517 197442 205277 335034 348329 410554 615831 696658 1044987 1231662 1436939 1847493 2089974 2438303 2873878 3134961 3694986 4166653 4310817 4876606 6269922 7314909 8333306 8621634 12499959 12932451 14629818 21944727 24999918 25864902 29166571 37499877 43889454 58333142 74999754 87499713 174999426 262499139 524998278 545831543 1091663086 1637494629 3274989258 3820820801 4912483887 7641641602 9824967774 11462462403 22924924806 34387387209 68774774418