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106011660048 = 24373037103889
BaseRepresentation
bin110001010111011001…
…0011000111100010000
3101010122010122022111120
41202232302120330100
53214102441110143
6120411233442240
710442032146120
oct1425662307420
9333563568446
10106011660048
1140a60900298
1218667110380
139cc612b838
1451b9626c80
152b56dc7383
hex18aec98f10

106011660048 has 80 divisors (see below), whose sum is σ = 313092877440. Its totient is φ = 30278780928.

The previous prime is 106011660047. The next prime is 106011660059. The reversal of 106011660048 is 840066110601.

It is a super-2 number, since 2×1060116600482 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106011660047) by changing a digit.

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, 968488 + ... + 1072376.

It is an arithmetic number, because the mean of its divisors is an integer number (3913660968).

Almost surely, 2106011660048 is an apocalyptic number.

It is an amenable number.

106011660048 is an abundant number, since it is smaller than the sum of its proper divisors (207081217392).

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

106011660048 is a wasteful number, since it uses less digits than its factorization.

106011660048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106944 (or 106938 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

Adding to 106011660048 its reverse (840066110601), we get a palindrome (946077770649).

The spelling of 106011660048 in words is "one hundred six billion, eleven million, six hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 3037 6074 9111 12148 18222 21259 24296 36444 42518 48592 63777 72888 85036 103889 127554 145776 170072 207778 255108 311667 340144 415556 510216 623334 727223 831112 1020432 1246668 1454446 1662224 2181669 2493336 2908892 4363338 4986672 5817784 8726676 11635568 17453352 34906704 315510893 631021786 946532679 1262043572 1893065358 2208576251 2524087144 3786130716 4417152502 5048174288 6625728753 7572261432 8834305004 13251457506 15144522864 17668610008 26502915012 35337220016 53005830024 106011660048