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106778726464 = 261668417601
BaseRepresentation
bin110001101110010000…
…0100001000001000000
3101012121121000022210211
41203130200201001000
53222140323221324
6121015314403504
710500035125264
oct1433440410100
9335547008724
10106778726464
1141314897683
121883bb90594
13a0b90203a7
14524d45c0a4
152b9e3e6294
hex18dc821040

106778726464 has 14 divisors (see below), whose sum is σ = 211889035454. Its totient is φ = 53389363200.

The previous prime is 106778726443. The next prime is 106778726473. The reversal of 106778726464 is 464627877601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 83516376064 + 23262350400 = 288992^2 + 152520^2 .

It is a super-2 number, since 2×1067787264642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106778726399 and 106778726408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 834208737 + ... + 834208864.

Almost surely, 2106778726464 is an apocalyptic number.

It is an amenable number.

106778726464 is a deficient number, since it is larger than the sum of its proper divisors (105110308990).

106778726464 is an equidigital number, since it uses as much as digits as its factorization.

106778726464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668417613 (or 1668417603 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 58.

The spelling of 106778726464 in words is "one hundred six billion, seven hundred seventy-eight million, seven hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 1668417601 3336835202 6673670404 13347340808 26694681616 53389363232 106778726464