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68120593488 = 24331733072969
BaseRepresentation
bin111111011100010011…
…011100010001010000
320111211102220200211000
4333130103130101100
52104002332442423
651143312422000
74631043330243
oct773423342120
9214742820730
1068120593488
1126987332152
1211251547900
136567c743ac
14342318d25a
151b8a61e843
hexfdc4dc450

68120593488 has 160 divisors (see below), whose sum is σ = 197368617600. Its totient is φ = 22494495744.

The previous prime is 68120593487. The next prime is 68120593493. The reversal of 68120593488 is 88439502186.

68120593488 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 0 + 593 + 48 + 8 = 666.

68120593488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×681205934882 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68120593481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22942468 + ... + 22945436.

It is an arithmetic number, because the mean of its divisors is an integer number (1233553860).

Almost surely, 268120593488 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 68120593488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98684308800).

68120593488 is an abundant number, since it is smaller than the sum of its proper divisors (129248024112).

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

68120593488 is a wasteful number, since it uses less digits than its factorization.

68120593488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 68120593488 in words is "sixty-eight billion, one hundred twenty million, five hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 173 216 307 346 432 519 614 692 921 1038 1228 1384 1557 1842 2076 2456 2763 2768 2969 3114 3684 4152 4671 4912 5526 5938 6228 7368 8289 8304 8907 9342 11052 11876 12456 14736 16578 17814 18684 22104 23752 24912 26721 33156 35628 37368 44208 47504 53111 53442 66312 71256 74736 80163 106222 106884 132624 142512 159333 160326 212444 213768 318666 320652 424888 427536 477999 513637 637332 641304 849776 911483 955998 1027274 1274664 1282608 1433997 1540911 1822966 1911996 2054548 2549328 2734449 2867994 3081822 3645932 3823992 4109096 4622733 5468898 5735988 6163644 7291864 7647984 8203347 8218192 9245466 10937796 11471976 12327288 13868199 14583728 16406694 18490932 21875592 22943952 24610041 24654576 27736398 32813388 36981864 43751184 49220082 55472796 65626776 73963728 98440164 110945592 131253552 157686559 196880328 221891184 315373118 393760656 473059677 630746236 946119354 1261492472 1419179031 1892238708 2522984944 2838358062 3784477416 4257537093 5676716124 7568954832 8515074186 11353432248 17030148372 22706864496 34060296744 68120593488