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68870633292 = 22383184653
BaseRepresentation
bin100000000100100000…
…0100111011101001100
320120202201020200000000
41000021000213131030
52112021340231132
651345544404300
74655451503226
oct1001100473514
9216681220000
1068870633292
112723174a15a
1211420776690
136657484026
143494a31416
151bd13c887c
hex100902774c

68870633292 has 108 divisors (see below), whose sum is σ = 186609923136. Its totient is φ = 22216070880.

The previous prime is 68870633269. The next prime is 68870633297. The reversal of 68870633292 is 29233607886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×688706332922 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (68870633297) 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 35 ways as a sum of consecutive naturals, for example, 771238 + ... + 855890.

Almost surely, 268870633292 is an apocalyptic number.

68870633292 is a gapful number since it is divisible by the number (62) 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 68870633292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93304961568).

68870633292 is an abundant number, since it is smaller than the sum of its proper divisors (117739289844).

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

68870633292 is an equidigital number, since it uses as much as digits as its factorization.

68870633292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84712 (or 84689 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 68870633292 in words is "sixty-eight billion, eight hundred seventy million, six hundred thirty-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 729 837 972 1116 1458 1674 2187 2511 2916 3348 4374 5022 6561 7533 8748 10044 13122 15066 22599 26244 30132 45198 67797 84653 90396 135594 169306 203391 253959 271188 338612 406782 507918 761877 813564 1015836 1523754 2285631 2624243 3047508 4571262 5248486 6856893 7872729 9142524 10496972 13713786 15745458 20570679 23618187 27427572 31490916 41141358 47236374 61712037 70854561 82282716 94472748 123424074 141709122 185136111 212563683 246848148 283418244 370272222 425127366 555408333 637691049 740544444 850254732 1110816666 1275382098 1913073147 2221633332 2550764196 3826146294 5739219441 7652292588 11478438882 17217658323 22956877764 34435316646 68870633292