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10144741772 = 22111734938861
BaseRepresentation
bin10010111001010110…
…00111100110001100
3222012000010021111202
421130223013212030
5131234023214042
64354353005032
7506252611424
oct113453074614
928160107452
1010144741772
114336495710
121b71553778
13c58997ba9
146c347d484
153e594e632
hex25cac798c

10144741772 has 48 divisors (see below), whose sum is σ = 20565770400. Its totient is φ = 4327449600.

The previous prime is 10144741771. The next prime is 10144741781. The reversal of 10144741772 is 27714744101.

10144741772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10144741771) 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 15 ways as a sum of consecutive naturals, for example, 241622 + ... + 280482.

It is an arithmetic number, because the mean of its divisors is an integer number (428453550).

Almost surely, 210144741772 is an apocalyptic number.

It is an amenable number.

10144741772 is an abundant number, since it is smaller than the sum of its proper divisors (10421028628).

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

10144741772 is a wasteful number, since it uses less digits than its factorization.

10144741772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39242 (or 39240 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 38.

The spelling of 10144741772 in words is "ten billion, one hundred forty-four million, seven hundred forty-one thousand, seven hundred seventy-two".

Divisors: 1 2 4 11 17 22 34 44 68 187 349 374 698 748 1396 3839 5933 7678 11866 15356 23732 38861 65263 77722 130526 155444 261052 427471 660637 854942 1321274 1709884 2642548 7267007 13562489 14534014 27124978 29068028 54249956 149187379 230562313 298374758 461124626 596749516 922249252 2536185443 5072370886 10144741772