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1066700420070 = 235318343132063
BaseRepresentation
bin11111000010111000100…
…11001011001111100110
310202222100012000211121120
433201130103023033212
5114434100301420240
62134011351554410
7140031554653065
oct17413423131746
93688305024546
101066700420070
1138142663a7aa
1215289798ba06
1379787c4a11c
14398b2b521dc
151cb32358ad0
hexf85c4cb3e6

1066700420070 has 128 divisors (see below), whose sum is σ = 2680792547328. Its totient is φ = 271321468800.

The previous prime is 1066700420063. The next prime is 1066700420117. The reversal of 1066700420070 is 700240076601.

It is a super-2 number, since 2×10667004200702 (a number of 25 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 63 ways as a sum of consecutive naturals, for example, 33252859 + ... + 33284921.

It is an arithmetic number, because the mean of its divisors is an integer number (20943691776).

Almost surely, 21066700420070 is an apocalyptic number.

1066700420070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066700420070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340396273664).

1066700420070 is an abundant number, since it is smaller than the sum of its proper divisors (1614092127258).

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

1066700420070 is a wasteful number, since it uses less digits than its factorization.

1066700420070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32618.

The product of its (nonzero) digits is 14112, while the sum is 33.

Adding to 1066700420070 its reverse (700240076601), we get a palindrome (1766940496671).

The spelling of 1066700420070 in words is "one trillion, sixty-six billion, seven hundred million, four hundred twenty thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 31 62 83 93 155 166 186 249 310 415 431 465 498 830 862 930 1245 1293 2155 2490 2573 2586 4310 5146 6465 7719 12865 12930 13361 15438 25730 26722 32063 35773 38595 40083 64126 66805 71546 77190 80166 96189 107319 133610 160315 178865 192378 200415 214638 320630 357730 400830 480945 536595 961890 993953 1073190 1108963 1987906 2217926 2661229 2981859 3326889 4969765 5322458 5544815 5963718 6653778 7983687 9939530 11089630 13306145 13819153 14909295 15967374 16634445 26612290 27638306 29818590 33268890 39918435 41457459 69095765 79836870 82498099 82914918 138191530 164996198 207287295 247494297 412490495 414574590 428393743 494988594 824980990 856787486 1146989699 1237471485 1285181229 2141968715 2293979398 2474942970 2570362458 3440969097 4283937430 5734948495 6425906145 6881938194 11469896990 12851812290 17204845485 34409690970 35556680669 71113361338 106670042007 177783403345 213340084014 355566806690 533350210035 1066700420070