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68152161312 = 25322943189767
BaseRepresentation
bin111111011110001011…
…110111010000100000
320111220122022111201200
4333132023313100200
52104033423130222
651150401201200
74631605545564
oct773613672040
9214818274650
1068152161312
11269a3133564
1211260030200
136571677b91
1434274496a4
151b8d2a7eac
hexfde2f7420

68152161312 has 144 divisors (see below), whose sum is σ = 205154389440. Its totient is φ = 21423822336.

The previous prime is 68152161263. The next prime is 68152161331. The reversal of 68152161312 is 21316125186.

68152161312 is a `hidden beast` number, since 6 + 8 + 1 + 5 + 21 + 613 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×681521613122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264253 + ... + 454019.

It is an arithmetic number, because the mean of its divisors is an integer number (1424683260).

Almost surely, 268152161312 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 68152161312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102577194720).

68152161312 is an abundant number, since it is smaller than the sum of its proper divisors (137002228128).

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

68152161312 is a wasteful number, since it uses less digits than its factorization.

68152161312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189855 (or 189844 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

Adding to 68152161312 its reverse (21316125186), we get a palindrome (89468286498).

The spelling of 68152161312 in words is "sixty-eight billion, one hundred fifty-two million, one hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 43 48 58 72 86 87 96 116 129 144 172 174 232 258 261 288 344 348 387 464 516 522 688 696 774 928 1032 1044 1247 1376 1392 1548 2064 2088 2494 2784 3096 3741 4128 4176 4988 6192 7482 8352 9976 11223 12384 14964 19952 22446 29928 39904 44892 59856 89784 119712 179568 189767 359136 379534 569301 759068 1138602 1518136 1707903 2277204 3036272 3415806 4554408 5503243 6072544 6831612 8159981 9108816 11006486 13663224 16319962 16509729 18217632 22012972 24479943 27326448 32639924 33019458 44025944 48959886 49529187 54652896 65279848 66038916 73439829 88051888 97919772 99058374 130559696 132077832 146879658 176103776 195839544 198116748 236639449 261119392 264155664 293759316 391679088 396233496 473278898 528311328 587518632 709918347 783358176 792466992 946557796 1175037264 1419836694 1584933984 1893115592 2129755041 2350074528 2839673388 3786231184 4259510082 5679346776 7572462368 8519020164 11358693552 17038040328 22717387104 34076080656 68152161312