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3065628861090 = 23653947106543
BaseRepresentation
bin101100100111000101101…
…110000010001010100010
3101212001220221112212000000
4230213011232002022202
5400211401442023330
610304155213440430
7434325066241365
oct54470556021242
911761827485000
103065628861090
11a82142631454
12416180aa0116
1319311a4ab013
14a853d1880dc
1554b2621c560
hex2c9c5b822a2

3065628861090 has 112 divisors (see below), whose sum is σ = 8275586997888. Its totient is φ = 817286239008.

The previous prime is 3065628861077. The next prime is 3065628861091. The reversal of 3065628861090 is 901688265603.

It is a happy number.

3065628861090 is a `hidden beast` number, since 3 + 0 + 6 + 5 + 628 + 8 + 6 + 1 + 0 + 9 + 0 = 666.

It is a super-3 number, since 3×30656288610903 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3065628861091) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28720359 + ... + 28826901.

It is an arithmetic number, because the mean of its divisors is an integer number (73889169624).

Almost surely, 23065628861090 is an apocalyptic number.

3065628861090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3065628861090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137793498944).

3065628861090 is an abundant number, since it is smaller than the sum of its proper divisors (5209958136798).

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

3065628861090 is a wasteful number, since it uses less digits than its factorization.

3065628861090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110515 (or 110500 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3065628861090 in words is "three trillion, sixty-five billion, six hundred twenty-eight million, eight hundred sixty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 3947 7290 7894 11841 19735 23682 35523 39470 59205 71046 106543 106569 118410 177615 213086 213138 319629 319707 355230 532715 532845 639258 639414 958887 959121 1065430 1065690 1598145 1598535 1917774 1918242 2876661 2877363 3196290 3197070 4794435 4795605 5753322 5754726 8629983 9588870 9591210 14383305 14386815 17259966 25889949 28766610 28773630 43149915 51779898 77669847 86299830 129449745 155339694 258899490 388349235 420525221 776698470 841050442 1261575663 2102626105 2523151326 3784726989 4205252210 6307878315 7569453978 11354180967 12615756630 18923634945 22708361934 34062542901 37847269890 56770904835 68125085802 102187628703 113541809670 170312714505 204375257406 306562886109 340625429010 510938143515 613125772218 1021876287030 1532814430545 3065628861090