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6390903144 = 2333761127929
BaseRepresentation
bin1011111001110110…
…10111000101101000
3121111101121111222110
411330323113011220
5101042032400034
62534055122320
7314241531453
oct57473270550
917441544873
106390903144
11278a55313a
1212a43733a0
137ab0738c2
14448ac649a
15276100de9
hex17ced7168

6390903144 has 128 divisors (see below), whose sum is σ = 16827494400. Its totient is φ = 2020515840.

The previous prime is 6390903133. The next prime is 6390903149. The reversal of 6390903144 is 4413090936.

It is not an unprimeable number, because it can be changed into a prime (6390903149) 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 31 ways as a sum of consecutive naturals, for example, 6878872 + ... + 6879800.

It is an arithmetic number, because the mean of its divisors is an integer number (131464800).

Almost surely, 26390903144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6390903144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413747200).

6390903144 is an abundant number, since it is smaller than the sum of its proper divisors (10436591256).

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

6390903144 is a wasteful number, since it uses less digits than its factorization.

6390903144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 6390903144 is about 79943.1244323113. The cubic root of 6390903144 is about 1855.7554524767.

The spelling of 6390903144 in words is "six billion, three hundred ninety million, nine hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 127 148 183 222 244 254 296 366 381 444 488 508 732 762 888 929 1016 1464 1524 1858 2257 2787 3048 3716 4514 4699 5574 6771 7432 7747 9028 9398 11148 13542 14097 15494 18056 18796 22296 23241 27084 28194 30988 34373 37592 46482 54168 56388 56669 61976 68746 92964 103119 112776 113338 117983 137492 170007 185928 206238 226676 235966 274984 286639 340014 353949 412476 453352 471932 573278 680028 707898 824952 859917 943864 1146556 1360056 1415796 1719834 2096753 2293112 2831592 3439668 4193506 4365371 6290259 6879336 7196963 8387012 8730742 12580518 13096113 14393926 16774024 17461484 21590889 25161036 26192226 28787852 34922968 43181778 50322072 52384452 57575704 86363556 104768904 172727112 266287631 532575262 798862893 1065150524 1597725786 2130301048 3195451572 6390903144