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68820469340 = 22573154129311
BaseRepresentation
bin100000000011000000…
…1010000011001011100
320120122012212001222212
41000012001100121130
52111421020004330
651340553255552
74654302223520
oct1000601203134
9216565761885
1068820469340
11272063a7247
1211407a045b8
136649c6c10c
14348c0d3d80
151bcbcba295
hex100605065c

68820469340 has 96 divisors (see below), whose sum is σ = 170818142208. Its totient is φ = 22791456000.

The previous prime is 68820469339. The next prime is 68820469369. The reversal of 68820469340 is 4396402886.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2333285 + ... + 2362595.

It is an arithmetic number, because the mean of its divisors is an integer number (1779355648).

Almost surely, 268820469340 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 68820469340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85409071104).

68820469340 is an abundant number, since it is smaller than the sum of its proper divisors (101997672868).

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

68820469340 is a wasteful number, since it uses less digits than its factorization.

68820469340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29899 (or 29897 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 68820469340 in words is "sixty-eight billion, eight hundred twenty million, four hundred sixty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 541 620 868 1082 1085 2164 2170 2705 3787 4340 5410 7574 10820 15148 16771 18935 29311 33542 37870 58622 67084 75740 83855 117244 117397 146555 167710 205177 234794 293110 335420 410354 469588 586220 586985 820708 908641 1025885 1173970 1817282 2051770 2347940 3634564 4103540 4543205 6360487 9086410 12720974 15857251 18172820 25441948 31714502 31802435 63429004 63604870 79286255 111000757 127209740 158572510 222001514 317145020 444003028 491574781 555003785 983149562 1110007570 1966299124 2220015140 2457873905 3441023467 4915747810 6882046934 9831495620 13764093868 17205117335 34410234670 68820469340