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106028182224 = 243527270623
BaseRepresentation
bin110001010111111000…
…1011010101011010000
3101010200021201201200000
41202233301122223100
53214121203312344
6120413023530000
710442322451536
oct1425761325320
9333607651600
10106028182224
1140a6a165688
1218670759900
139cc9694c83
1451bb8c8156
152b5858ca69
hex18afc5aad0

106028182224 has 60 divisors (see below), whose sum is σ = 307721721216. Its totient is φ = 35342726112.

The previous prime is 106028182219. The next prime is 106028182289. The reversal of 106028182224 is 422281820601.

106028182224 is a `hidden beast` number, since 1 + 0 + 602 + 8 + 1 + 8 + 22 + 24 = 666.

It is a super-2 number, since 2×1060281822242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 13631424 + ... + 13639199.

Almost surely, 2106028182224 is an apocalyptic number.

It is an amenable number.

106028182224 is an abundant number, since it is smaller than the sum of its proper divisors (201693538992).

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

106028182224 is an equidigital number, since it uses as much as digits as its factorization.

106028182224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27270646 (or 27270628 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 106028182224 in words is "one hundred six billion, twenty-eight million, one hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 27270623 54541246 81811869 109082492 163623738 218164984 245435607 327247476 436329968 490871214 654494952 736306821 981742428 1308989904 1472613642 1963484856 2208920463 2945227284 3926969712 4417840926 5890454568 6626761389 8835681852 11780909136 13253522778 17671363704 26507045556 35342727408 53014091112 106028182224