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106173395316 = 223231604715733
BaseRepresentation
bin110001011100001101…
…1010111000101110100
3101011001101222022120200
41202320123113011310
53214420342122231
6120435252200500
710446034653402
oct1427033270564
9334041868520
10106173395316
11410341283aa
12186b1309130
13a0207a9091
1451d2cc8472
152b661c3be6
hex18b86d7174

106173395316 has 72 divisors (see below), whose sum is σ = 277103683584. Its totient is φ = 34241641920.

The previous prime is 106173395281. The next prime is 106173395333. The reversal of 106173395316 is 613593371601.

106173395316 is a `hidden beast` number, since 10 + 6 + 1 + 73 + 39 + 531 + 6 = 666.

It is a super-2 number, since 2×1061733953162 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6740586 + ... + 6756318.

It is an arithmetic number, because the mean of its divisors is an integer number (3848662272).

Almost surely, 2106173395316 is an apocalyptic number.

It is an amenable number.

106173395316 is an abundant number, since it is smaller than the sum of its proper divisors (170930288268).

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

106173395316 is a wasteful number, since it uses less digits than its factorization.

106173395316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21821 (or 21816 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 106173395316 in words is "one hundred six billion, one hundred seventy-three million, three hundred ninety-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 6047 12094 15733 18141 24188 31466 36282 47199 54423 62932 72564 94398 108846 141597 187457 188796 217692 283194 374914 487723 562371 566388 749828 975446 1124742 1463169 1687113 1950892 2249484 2926338 3374226 4389507 5852676 6748452 8779014 17558028 95137451 190274902 285412353 380549804 570824706 856237059 1141649412 1712474118 2949260981 3424948236 5898521962 8847782943 11797043924 17695565886 26543348829 35391131772 53086697658 106173395316