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66100050030 = 23572940127067
BaseRepresentation
bin111101100011110111…
…101011100001101110
320022121121220110021010
4331203313223201232
52040333103100110
650211013250050
74530010104060
oct754367534156
9208547813233
1066100050030
112603a833a23
1210988933926
136305486451
1432b0aa7730
151abd050020
hexf63deb86e

66100050030 has 128 divisors (see below), whose sum is σ = 188029486080. Its totient is φ = 14550681600.

The previous prime is 66100049971. The next prime is 66100050031. The reversal of 66100050030 is 3005000166.

It is a super-2 number, since 2×661000500302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 66100049979 and 66100050006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66100050031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2428557 + ... + 2455623.

It is an arithmetic number, because the mean of its divisors is an integer number (1468980360).

Almost surely, 266100050030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66100050030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94014743040).

66100050030 is an abundant number, since it is smaller than the sum of its proper divisors (121929436050).

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

66100050030 is a wasteful number, since it uses less digits than its factorization.

66100050030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27514.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 66100050030 its reverse (3005000166), we get a palindrome (69105050196).

The spelling of 66100050030 in words is "sixty-six billion, one hundred million, fifty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 401 406 435 609 802 870 1015 1203 1218 2005 2030 2406 2807 3045 4010 5614 6015 6090 8421 11629 12030 14035 16842 23258 27067 28070 34887 42105 54134 58145 69774 81201 81403 84210 116290 135335 162402 162806 174435 189469 244209 270670 348870 378938 406005 407015 488418 568407 784943 812010 814030 947345 1136814 1221045 1569886 1894690 2354829 2442090 2842035 3924715 4709658 5494601 5684070 7849430 10853867 10989202 11774145 16483803 21707734 23548290 27473005 32561601 32967606 54269335 54946010 65123202 75977069 82419015 108538670 151954138 162808005 164838030 227931207 314762143 325616010 379885345 455862414 629524286 759770690 944286429 1139656035 1573810715 1888572858 2203335001 2279312070 3147621430 4406670002 4721432145 6610005003 9442864290 11016675005 13220010006 22033350010 33050025015 66100050030