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106909532658 = 23273149546053
BaseRepresentation
bin110001110010001001…
…1100000000111110010
3101012221201010222011200
41203210103200013302
53222422320021113
6121040310152030
710503214014405
oct1434423400762
9335851128150
10106909532658
114138170a275
1218877952616
13a10a15bac6
14526298bd3c
152baab33873
hex18e44e01f2

106909532658 has 48 divisors (see below), whose sum is σ = 236386776600. Its totient is φ = 34912380672.

The previous prime is 106909532641. The next prime is 106909532669. The reversal of 106909532658 is 856235909601.

It is a happy number.

106909532658 is a `hidden beast` number, since 10 + 6 + 90 + 9 + 532 + 6 + 5 + 8 = 666.

106909532658 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35076420369 + 71833112289 = 187287^2 + 268017^2 .

It is a super-2 number, since 2×1069095326582 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77241 + ... + 468812.

Almost surely, 2106909532658 is an apocalyptic number.

106909532658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106909532658 is an abundant number, since it is smaller than the sum of its proper divisors (129477243942).

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

106909532658 is a wasteful number, since it uses less digits than its factorization.

106909532658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546283 (or 546280 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 106909532658 in words is "one hundred six billion, nine hundred nine million, five hundred thirty-two thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 18 73 146 149 219 298 438 447 657 894 1314 1341 2682 10877 21754 32631 65262 97893 195786 546053 1092106 1638159 3276318 4914477 9828954 39861869 79723738 81361897 119585607 162723794 239171214 244085691 358756821 488171382 717513642 732257073 1464514146 5939418481 11878836962 17818255443 35636510886 53454766329 106909532658