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106172462624 = 2510332212519
BaseRepresentation
bin110001011100001011…
…1110011011000100000
3101011001100012221011112
41202320113303120200
53214420122300444
6120435220202452
710446024020234
oct1427027633040
9334040187145
10106172462624
1141033650688
12186b0b39428
13a0205406a7
1451d2b245c4
152b6608c69e
hex18b85f3620

106172462624 has 24 divisors (see below), whose sum is σ = 211056431040. Its totient is φ = 52570829376.

The previous prime is 106172462581. The next prime is 106172462633. The reversal of 106172462624 is 426264271601.

It is a happy number.

It is a super-2 number, since 2×1061724626242 (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 3 ways as a sum of consecutive naturals, for example, 16102964 + ... + 16109555.

It is an arithmetic number, because the mean of its divisors is an integer number (8794017960).

Almost surely, 2106172462624 is an apocalyptic number.

It is an amenable number.

106172462624 is a deficient number, since it is larger than the sum of its proper divisors (104883968416).

106172462624 is a wasteful number, since it uses less digits than its factorization.

106172462624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32212632 (or 32212624 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 106172462624 in words is "one hundred six billion, one hundred seventy-two million, four hundred sixty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 103 206 412 824 1648 3296 32212519 64425038 128850076 257700152 515400304 1030800608 3317889457 6635778914 13271557828 26543115656 53086231312 106172462624