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1016968458 = 2311217237131
BaseRepresentation
bin111100100111011…
…011010100001010
32121212121100110110
4330213123110022
54040320442313
6244525055150
734126042422
oct7447332412
92555540413
101016968458
11482063500
122446b74b6
131328cb7ac
14990c7482
155e433ec3
hex3c9db50a

1016968458 has 144 divisors (see below), whose sum is σ = 2457699552. Its totient is φ = 280051200.

The previous prime is 1016968453. The next prime is 1016968471. The reversal of 1016968458 is 8548696101.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1016968451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7763053 + ... + 7763183.

It is an arithmetic number, because the mean of its divisors is an integer number (17067358).

Almost surely, 21016968458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016968458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228849776).

1016968458 is an abundant number, since it is smaller than the sum of its proper divisors (1440731094).

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

1016968458 is a wasteful number, since it uses less digits than its factorization.

1016968458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 1016968458 is about 31889.9428974089. The cubic root of 1016968458 is about 1005.6244588206.

The spelling of 1016968458 in words is "one billion, sixteen million, nine hundred sixty-eight thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 121 131 187 222 242 262 289 363 374 393 407 561 578 629 726 786 814 867 1122 1221 1258 1441 1734 1887 2057 2227 2442 2882 3179 3774 4114 4323 4454 4477 4847 6171 6358 6681 6919 8646 8954 9537 9694 10693 12342 13362 13431 13838 14541 15851 19074 20757 21386 24497 26862 29082 31702 32079 34969 37859 41514 47553 48994 53317 64158 69938 73491 75718 76109 82399 95106 104907 106634 113577 117623 146982 152218 159951 164798 209814 227154 228327 235246 247197 269467 319902 352869 416449 456654 494394 538934 586487 705738 808401 832898 906389 1172974 1249347 1293853 1400783 1616802 1759461 1812778 2498694 2587706 2719167 2801566 3518922 3881559 4202349 4580939 5438334 7763118 8404698 9161878 9970279 13742817 15408613 19940558 27485634 29910837 30817226 46225839 59821674 92451678 169494743 338989486 508484229 1016968458