Search a number
-
+
68671197026852 = 22723113191879391
BaseRepresentation
bin11111001110100110000100…
…10011100001101000100100
3100000010220100210101200100012
433213103002103201220210
533000102102414324402
6402015040140105352
720315221164515600
oct1747230223415044
9300126323350305
1068671197026852
111a9763225159a2
127850b30b35258
132c4188753a5b4
1412d59bcc2a500
157e14670e6452
hex3e74c24e1a24

68671197026852 has 144 divisors (see below), whose sum is σ = 145437324189696. Its totient is φ = 28257642504000.

The previous prime is 68671197026819. The next prime is 68671197026879. The reversal of 68671197026852 is 25862079117686.

It is a super-2 number, since 2×686711970268522 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7312443077 + ... + 7312452467.

It is an arithmetic number, because the mean of its divisors is an integer number (1009981417984).

Almost surely, 268671197026852 is an apocalyptic number.

68671197026852 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 68671197026852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72718662094848).

68671197026852 is an abundant number, since it is smaller than the sum of its proper divisors (76766127162844).

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

68671197026852 is a wasteful number, since it uses less digits than its factorization.

68671197026852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18758 (or 18749 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 68.

The spelling of 68671197026852 in words is "sixty-eight trillion, six hundred seventy-one billion, one hundred ninety-seven million, twenty-six thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 131 196 217 262 434 524 868 917 1519 1834 3038 3668 4061 6076 6419 8122 9187 9391 12838 16244 18374 18782 25676 28427 36748 37564 56854 64309 65737 113708 128618 131474 198989 257236 262948 284797 291121 397978 450163 460159 569594 582242 795956 900326 920318 1139188 1164484 1203497 1230221 1800652 1840636 1993579 2037847 2406994 2460442 3987158 4075694 4813988 4920884 7974316 8151388 8424479 8611547 13955053 14264929 16848958 17223094 27910106 28529858 33697916 34446188 37308407 38136851 55820212 57059716 58971353 60280829 74616814 76273702 86275117 117942706 120561658 149233628 152547404 172550234 235885412 241123316 261158849 266957957 345100468 522317698 533915914 603925819 1044635396 1067831828 1207851638 1828111943 1868705699 2415703276 2674528627 3656223886 3737411398 4227480733 5349057254 7312447772 7474822796 8454961466 10698114508 11302040327 16909922932 18721700389 22604080654 37443400778 45208161308 74886801556 79114282289 131051902723 158228564578 262103805446 316457129156 350363250137 524207610892 553799976023 700726500274 1107599952046 1401453000548 2215199904092 2452542750959 4905085501918 9810171003836 17167799256713 34335598513426 68671197026852