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68007614000 = 2453313113527
BaseRepresentation
bin111111010101100100…
…011101011000110000
320111112120022202002112
4333111210131120300
52103234422122000
651124155104452
74625202116054
oct772544353060
9214476282075
1068007614000
1126929585a77
121121b742128
13654a737b21
14341217dc64
151b80754235
hexfd591d630

68007614000 has 160 divisors (see below), whose sum is σ = 170341097472. Its totient is φ = 26233440000.

The previous prime is 68007613979. The next prime is 68007614063. The reversal of 68007614000 is 41670086.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19280237 + ... + 19283763.

Almost surely, 268007614000 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 68007614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85170548736).

68007614000 is an abundant number, since it is smaller than the sum of its proper divisors (102333483472).

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

68007614000 is a wasteful number, since it uses less digits than its factorization.

68007614000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 68007614000 in words is "sixty-eight billion, seven million, six hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 311 400 496 500 620 622 775 1000 1240 1244 1550 1555 2000 2480 2488 3100 3110 3527 3875 4976 6200 6220 7054 7750 7775 9641 12400 12440 14108 15500 15550 17635 19282 24880 28216 31000 31100 35270 38564 38875 48205 56432 62000 62200 70540 77128 77750 88175 96410 109337 124400 141080 154256 155500 176350 192820 218674 241025 282160 311000 352700 385640 437348 440875 482050 546685 622000 705400 771280 874696 881750 964100 1093370 1096897 1205125 1410800 1749392 1763500 1928200 2186740 2193794 2410250 2733425 3527000 3856400 4373480 4387588 4820500 5466850 5484485 7054000 8746960 8775176 9641000 10933700 10968970 13667125 17550352 19282000 21867400 21937940 27334250 27422425 34003807 43734800 43875880 54668500 54844850 68007614 87751760 109337000 109689700 136015228 137112125 170019035 218674000 219379400 272030456 274224250 340038070 438758800 544060912 548448500 680076140 850095175 1096897000 1360152280 1700190350 2193794000 2720304560 3400380700 4250475875 6800761400 8500951750 13601522800 17001903500 34003807000 68007614000