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106650213544 = 23767137207481
BaseRepresentation
bin110001101010011011…
…0010001110010101000
3101012021122012012020001
41203110312101302220
53221404423313134
6120554444112344
710463614600120
oct1432466216250
9335248165201
10106650213544
11412592a0a56
1218804b356b4
13a098505744
14523a367c80
152b92ead414
hex18d4d91ca8

106650213544 has 64 divisors (see below), whose sum is σ = 233641330560. Its totient is φ = 44696171520.

The previous prime is 106650213533. The next prime is 106650213557. The reversal of 106650213544 is 445312056601.

It is a super-2 number, since 2×1066502135442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410284 + ... + 617764.

It is an arithmetic number, because the mean of its divisors is an integer number (3650645790).

Almost surely, 2106650213544 is an apocalyptic number.

106650213544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106650213544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116820665280).

106650213544 is an abundant number, since it is smaller than the sum of its proper divisors (126991117016).

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

106650213544 is a wasteful number, since it uses less digits than its factorization.

106650213544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207698 (or 207694 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 106650213544 in words is "one hundred six billion, six hundred fifty million, two hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 67 134 137 268 274 469 536 548 938 959 1096 1876 1918 3752 3836 7672 9179 18358 36716 64253 73432 128506 207481 257012 414962 514024 829924 1452367 1659848 2904734 5809468 11618936 13901227 27802454 28424897 55604908 56849794 97308589 111209816 113699588 194617178 198974279 227399176 389234356 397948558 778468712 795897116 1591794232 1904468099 3808936198 7617872396 13331276693 15235744792 26662553386 53325106772 106650213544