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106522516352 = 2771071111091
BaseRepresentation
bin110001100110100111…
…1001001101110000000
3101011221201220111121102
41203031033021232000
53221124231010402
6120534043113532
710460504310110
oct1431517115600
9334851814542
10106522516352
11411a320218a
121878a2128a8
13a077c15185
145227407040
152b86b87102
hex18cd3c9b80

106522516352 has 64 divisors (see below), whose sum is σ = 244795789440. Its totient is φ = 45225807360.

The previous prime is 106522516349. The next prime is 106522516381. The reversal of 106522516352 is 253615225601.

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

It is a super-2 number, since 2×1065225163522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 459674 + ... + 651417.

It is an arithmetic number, because the mean of its divisors is an integer number (3824934210).

Almost surely, 2106522516352 is an apocalyptic number.

It is an amenable number.

106522516352 is an abundant number, since it is smaller than the sum of its proper divisors (138273273088).

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

106522516352 is a wasteful number, since it uses less digits than its factorization.

106522516352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111219 (or 1111207 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 106522516352 in words is "one hundred six billion, five hundred twenty-two million, five hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 214 224 428 448 749 856 896 1498 1712 2996 3424 5992 6848 11984 13696 23968 47936 95872 1111091 2222182 4444364 7777637 8888728 15555274 17777456 31110548 35554912 62221096 71109824 118886737 124442192 142219648 237773474 248884384 475546948 497768768 832207159 951093896 995537536 1664414318 1902187792 3328828636 3804375584 6657657272 7608751168 13315314544 15217502336 26630629088 53261258176 106522516352