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68033799468 = 2232176117910181
BaseRepresentation
bin111111010111001000…
…010110010100101100
320111121101121002210200
4333113020112110230
52103313123040333
651130532233500
74625640516405
oct772710262454
9214541532720
1068033799468
1126942340558
121122846b890
136552ca579b
1434158389ac
151b82bc7c13
hexfd721652c

68033799468 has 144 divisors (see below), whose sum is σ = 186127774560. Its totient is φ = 20874700800.

The previous prime is 68033799467. The next prime is 68033799487. The reversal of 68033799468 is 86499733086.

68033799468 is a `hidden beast` number, since 6 + 80 + 3 + 3 + 7 + 99 + 468 = 666.

It is not an unprimeable number, because it can be changed into a prime (68033799461) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6677338 + ... + 6687518.

It is an arithmetic number, because the mean of its divisors is an integer number (1292553990).

Almost surely, 268033799468 is an apocalyptic number.

68033799468 is a gapful number since it is divisible by the number (68) 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 68033799468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93063887280).

68033799468 is an abundant number, since it is smaller than the sum of its proper divisors (118093975092).

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

68033799468 is a wasteful number, since it uses less digits than its factorization.

68033799468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10448 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 68033799468 in words is "sixty-eight billion, thirty-three million, seven hundred ninety-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 179 183 204 244 306 358 366 537 549 612 716 732 1037 1074 1098 1611 2074 2148 2196 3043 3111 3222 4148 6086 6222 6444 9129 9333 10181 10919 12172 12444 18258 18666 20362 21838 27387 30543 32757 36516 37332 40724 43676 54774 61086 65514 91629 98271 109548 122172 131028 173077 183258 185623 196542 346154 366516 371246 393084 519231 556869 621041 692308 742492 1038462 1113738 1242082 1557693 1670607 1822399 1863123 2076924 2227476 2484164 3115386 3341214 3644798 3726246 5467197 5589369 6230772 6682428 7289596 7452492 10557697 10934394 11178738 16401591 21115394 21868788 22357476 30980783 31673091 32803182 42230788 61961566 63346182 65606364 92942349 95019273 111166339 123923132 126692364 185884698 190038546 222332678 278827047 333499017 371769396 380077092 444665356 557654094 666998034 1000497051 1115308188 1333996068 1889827763 2000994102 3779655526 4001988204 5669483289 7559311052 11338966578 17008449867 22677933156 34016899734 68033799468