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68133814000 = 245372695243
BaseRepresentation
bin111111011101000101…
…110111111011110000
320111212100210100221121
4333131011313323300
52104014224022000
651144504032024
74631263602100
oct773505677360
9214770710847
1068133814000
112699384199a
1211255a62614
13656a922a95
143424c31200
151b8b881b1a
hexfdd177ef0

68133814000 has 120 divisors (see below), whose sum is σ = 191645399088. Its totient is φ = 23360131200.

The previous prime is 68133813983. The next prime is 68133814037. The reversal of 68133814000 is 41833186.

It is a super-2 number, since 2×681338140002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 249622 + ... + 445621.

Almost surely, 268133814000 is an apocalyptic number.

It is an amenable number.

68133814000 is an abundant number, since it is smaller than the sum of its proper divisors (123511585088).

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

68133814000 is a wasteful number, since it uses less digits than its factorization.

68133814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695280 (or 695257 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 68133814000 in words is "sixty-eight billion, one hundred thirty-three million, eight hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3500 3920 4900 6125 7000 9800 12250 14000 19600 24500 49000 98000 695243 1390486 2780972 3476215 4866701 5561944 6952430 9733402 11123888 13904860 17381075 19466804 24333505 27809720 34066907 34762150 38933608 48667010 55619440 68133814 69524300 77867216 86905375 97334020 121667525 136267628 139048600 170334535 173810750 194668040 243335050 272535256 278097200 340669070 347621500 389336080 486670100 545070512 608337625 681338140 695243000 851672675 973340200 1216675250 1362676280 1390486000 1703345350 1946680400 2433350500 2725352560 3406690700 4258363375 4866701000 6813381400 8516726750 9733402000 13626762800 17033453500 34066907000 68133814000