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7106663146122 = 23231103971127343
BaseRepresentation
bin110011101101010011000…
…1000011110001010001010
3221011101112120111012202200
41213122212020132022022
51412413421231133442
623040431142541030
71332303511022541
oct147324610361212
927141476435680
107106663146122
11229aa12091781
1296939b137776
133c720370b687
141a7d701a9158
15c4cd98b434c
hex676a621e28a

7106663146122 has 96 divisors (see below), whose sum is σ = 16065441939456. Its totient is φ = 2267859146400.

The previous prime is 7106663146111. The next prime is 7106663146123. The reversal of 7106663146122 is 2216413666017.

It is a super-2 number, since 2×71066631461222 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7106663146123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55743583 + ... + 55870925.

It is an arithmetic number, because the mean of its divisors is an integer number (167348353536).

Almost surely, 27106663146122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7106663146122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032720969728).

7106663146122 is an abundant number, since it is smaller than the sum of its proper divisors (8958778793334).

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

7106663146122 is a wasteful number, since it uses less digits than its factorization.

7106663146122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128456 (or 128453 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 7106663146122 in words is "seven trillion, one hundred six billion, six hundred sixty-three million, one hundred forty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 103 186 206 279 309 558 618 927 971 1854 1942 2913 3193 5826 6386 8739 9579 17478 19158 28737 30101 57474 60202 90303 100013 127343 180606 200026 254686 270909 300039 382029 541818 600078 764058 900117 1146087 1800234 2292174 3100403 3947633 6200806 7895266 9301209 11842899 13116329 18602418 23685798 26232658 27903627 35528697 39348987 55807254 71057394 78697974 118046961 123650053 236093922 247300106 370950159 406606199 741900318 813212398 1112850477 1219818597 2225700954 2439637194 3659455791 3833151643 7318911582 7666303286 11499454929 12735955459 22998909858 25471910918 34498364787 38207866377 68996729574 76415732754 114623599131 229247198262 394814619229 789629238458 1184443857687 2368887715374 3553331573061 7106663146122