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106418752896 = 2731433193393
BaseRepresentation
bin110001100011100001…
…1010100110110000000
3101011200111122202220110
41203013003110312000
53220421200043041
6120515455111320
710455104321541
oct1430703246600
9334614582813
10106418752896
114114a680165
121875b512540
13a05c584691
1452177164c8
152b7c9dc516
hex18c70d4d80

106418752896 has 64 divisors (see below), whose sum is σ = 282873535920. Its totient is φ = 35447980032.

The previous prime is 106418752889. The next prime is 106418753009. The reversal of 106418752896 is 698257814601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1064187528962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453576 + ... + 646968.

Almost surely, 2106418752896 is an apocalyptic number.

106418752896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106418752896 is an abundant number, since it is smaller than the sum of its proper divisors (176454783024).

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

106418752896 is a wasteful number, since it uses less digits than its factorization.

106418752896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194843 (or 194831 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 106418752896 in words is "one hundred six billion, four hundred eighteen million, seven hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1433 2866 4299 5732 8598 11464 17196 22928 34392 45856 68784 91712 137568 183424 193393 275136 386786 550272 580179 773572 1160358 1547144 2320716 3094288 4641432 6188576 9282864 12377152 18565728 24754304 37131456 74262912 277132169 554264338 831396507 1108528676 1662793014 2217057352 3325586028 4434114704 6651172056 8868229408 13302344112 17736458816 26604688224 35472917632 53209376448 106418752896