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10144150667 = 722311877583
BaseRepresentation
bin10010111001010001…
…10111010010001011
3222011222000020122222
421130220313102023
5131233400310132
64354332204255
7506244600200
oct113450672213
928158006588
1010144150667
1143361215a2
121b7130968b
13c5881bb21
146c3367ca7
153e5884412
hex25ca3748b

10144150667 has 24 divisors (see below), whose sum is σ = 12325395456. Its totient is φ = 8308840848.

The previous prime is 10144150661. The next prime is 10144150697. The reversal of 10144150667 is 76605144101.

10144150667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144150667 - 214 = 10144134283 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10144150661) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1333958 + ... + 1341540.

It is an arithmetic number, because the mean of its divisors is an integer number (513558144).

Almost surely, 210144150667 is an apocalyptic number.

10144150667 is a deficient number, since it is larger than the sum of its proper divisors (2181244789).

10144150667 is a wasteful number, since it uses less digits than its factorization.

10144150667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8807 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

Adding to 10144150667 its reverse (76605144101), we get a palindrome (86749294768).

The spelling of 10144150667 in words is "ten billion, one hundred forty-four million, one hundred fifty thousand, six hundred sixty-seven".

Divisors: 1 7 23 49 161 1127 1187 7583 8309 27301 53081 58163 174409 191107 371567 1220863 1337749 8546041 9001021 63007147 207023483 441050029 1449164381 10144150667