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106350265664 = 261661722901
BaseRepresentation
bin110001100001011111…
…0000100010101000000
3101011111201210021002022
41203002332010111000
53220301132000124
6120505011141012
710453313225366
oct1430276042500
9334451707068
10106350265664
1141114a52745
12187405a4768
13a04b3255a6
14520c5a9636
152b769aec5e
hex18c2f84540

106350265664 has 14 divisors (see below), whose sum is σ = 211038808554. Its totient is φ = 53175132800.

The previous prime is 106350265633. The next prime is 106350265667. The reversal of 106350265664 is 466562053601.

It can be written as a sum of positive squares in only one way, i.e., 61507968064 + 44842297600 = 248008^2 + 211760^2 .

It is a super-2 number, since 2×1063502656642 (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 (106350265667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 830861387 + ... + 830861514.

It is an arithmetic number, because the mean of its divisors is an integer number (15074200611).

Almost surely, 2106350265664 is an apocalyptic number.

It is an amenable number.

106350265664 is a deficient number, since it is larger than the sum of its proper divisors (104688542890).

106350265664 is an equidigital number, since it uses as much as digits as its factorization.

106350265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661722913 (or 1661722903 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 106350265664 in words is "one hundred six billion, three hundred fifty million, two hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 1661722901 3323445802 6646891604 13293783208 26587566416 53175132832 106350265664