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10530239144 = 231725121229
BaseRepresentation
bin10011100111010011…
…01011001010101000
31000011212111120111012
421303221223022220
5133031220123034
64500523323052
7521643361445
oct116351531250
930155446435
1010530239144
114514055587
12205a680488
13cba7cc349
1471c74a9cc
154196eacce
hex273a6b2a8

10530239144 has 48 divisors (see below), whose sum is σ = 21006321300. Its totient is φ = 4931648000.

The previous prime is 10530239143. The next prime is 10530239171. The reversal of 10530239144 is 44193203501.

10530239144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8255903044 + 2274336100 = 90862^2 + 47690^2 .

It is a super-2 number, since 2×105302391442 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10530239144.

It is not an unprimeable number, because it can be changed into a prime (10530239143) 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 11 ways as a sum of consecutive naturals, for example, 8567522 + ... + 8568750.

Almost surely, 210530239144 is an apocalyptic number.

It is an amenable number.

10530239144 is a deficient number, since it is larger than the sum of its proper divisors (10476082156).

10530239144 is a wasteful number, since it uses less digits than its factorization.

10530239144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 10530239144 in words is "ten billion, five hundred thirty million, two hundred thirty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 34 68 136 251 502 1004 1229 2008 2458 4267 4916 8534 9832 17068 20893 34136 41786 63001 83572 126002 167144 252004 308479 504008 616958 1071017 1233916 2142034 2467832 4284068 5244143 8568136 10488286 20976572 41953144 77428229 154856458 309712916 619425832 1316279893 2632559786 5265119572 10530239144