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68147468004132 = 2232112357113103599
BaseRepresentation
bin11110111111010110100011…
…00111110110101100100100
322221021211112012211201100100
433133223101213312230210
532413012003302113012
6400534303053344100
720232330533340036
oct1737532147665444
9287254465751310
1068147468004132
111a7941a70a6520
127787529198030
132c0438129c09a
1412b84d8387c56
157d2a1319b8dc
hex3dfad19f6b24

68147468004132 has 144 divisors (see below), whose sum is σ = 196435753113600. Its totient is φ = 19718294270400.

The previous prime is 68147468004101. The next prime is 68147468004149. The reversal of 68147468004132 is 23140086474186.

68147468004132 is a `hidden beast` number, since 6 + 8 + 1 + 47 + 468 + 0 + 0 + 4 + 132 = 666.

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, 1351132 + ... + 11752467.

It is an arithmetic number, because the mean of its divisors is an integer number (1364137174400).

Almost surely, 268147468004132 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 68147468004132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98217876556800).

68147468004132 is an abundant number, since it is smaller than the sum of its proper divisors (128288285109468).

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

68147468004132 is a wasteful number, since it uses less digits than its factorization.

68147468004132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13104214 (or 13104209 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 68147468004132 in words is "sixty-eight trillion, one hundred forty-seven billion, four hundred sixty-eight million, four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 571 759 828 1012 1142 1518 1713 2277 2284 3036 3426 4554 5139 6281 6852 9108 10278 12562 13133 18843 20556 25124 26266 37686 39399 52532 56529 75372 78798 113058 118197 144463 157596 226116 236394 288926 433389 472788 577852 866778 1300167 1733556 2600334 5200668 13103599 26207198 39310797 52414396 78621594 117932391 144139589 157243188 235864782 288279178 301382777 432418767 471729564 576558356 602765554 864837534 904148331 1205531108 1297256301 1729675068 1808296662 2594512602 2712444993 3315210547 3616593324 5189025204 5424889986 6630421094 7482155029 9945631641 10849779972 13260842188 14964310058 19891263282 22446465087 29836894923 29928620116 39782526564 44892930174 59673789846 67339395261 82303705319 89785860348 119347579692 134678790522 164607410638 172089565667 246911115957 269357581044 329214821276 344179131334 493822231914 516268697001 688358262668 740733347871 987644463828 1032537394002 1481466695742 1548806091003 1892985222337 2065074788004 2962933391484 3097612182006 3785970444674 5678955667011 6195224364012 7571940889348 11357911334022 17036867001033 22715822668044 34073734002066 68147468004132