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106252686304 = 257681432287
BaseRepresentation
bin110001011110100100…
…1110101001111100000
3101011020221011201100221
41202331021311033200
53220101141430204
6120451203452424
710451016634432
oct1427511651740
9334227151327
10106252686304
1141074964946
1218713987114
13a03404b81b
1451dd648652
152b6d137654
hex18bd2753e0

106252686304 has 24 divisors (see below), whose sum is σ = 209212694208. Its totient is φ = 53119303680.

The previous prime is 106252686277. The next prime is 106252686307. The reversal of 106252686304 is 403686252601.

It is a super-2 number, since 2×1062526863042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106252686307) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 29649 + ... + 461935.

It is an arithmetic number, because the mean of its divisors is an integer number (8717195592).

Almost surely, 2106252686304 is an apocalyptic number.

It is an amenable number.

106252686304 is a deficient number, since it is larger than the sum of its proper divisors (102960007904).

106252686304 is an equidigital number, since it uses as much as digits as its factorization.

106252686304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439978 (or 439970 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 106252686304 in words is "one hundred six billion, two hundred fifty-two million, six hundred eighty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 7681 15362 30724 61448 122896 245792 432287 864574 1729148 3458296 6916592 13833184 3320396447 6640792894 13281585788 26563171576 53126343152 106252686304