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106141670514 = 2351119854409
BaseRepresentation
bin110001011011010001…
…0010101110001110010
3101010222012021112100000
41202312202111301302
53214334231424024
6120432200210430
710445201212305
oct1426642256162
9333865245300
10106141670514
114101822a060
12186a2769a16
13a01704bcc9
1451cc9cab3c
152b63508cc9
hex18b6895c72

106141670514 has 48 divisors (see below), whose sum is σ = 260172188640. Its totient is φ = 32164140960.

The previous prime is 106141670501. The next prime is 106141670519. The reversal of 106141670514 is 415076141601.

106141670514 is a `hidden beast` number, since 1 + 0 + 61 + 4 + 16 + 70 + 514 = 666.

It is a super-2 number, since 2×1061416705142 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106141670519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9921859 + ... + 9932550.

It is an arithmetic number, because the mean of its divisors is an integer number (5420253930).

Almost surely, 2106141670514 is an apocalyptic number.

106141670514 is an abundant number, since it is smaller than the sum of its proper divisors (154030518126).

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

106141670514 is a wasteful number, since it uses less digits than its factorization.

106141670514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19854437 (or 19854425 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 106141670514 in words is "one hundred six billion, one hundred forty-one million, six hundred seventy thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 5346 19854409 39708818 59563227 119126454 178689681 218398499 357379362 436796998 536069043 655195497 1072138086 1310390994 1608207129 1965586491 3216414258 3931172982 4824621387 5896759473 9649242774 11793518946 17690278419 35380556838 53070835257 106141670514