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201335481468 = 223511120115679
BaseRepresentation
bin1011101110000010000…
…1111010010001111100
3201020200102020011200000
42323200201322101330
511244313340401333
6232254154034300
720355165232662
oct2734041722174
9636612204600
10201335481468
11784276a31a0
123302aa18990
1315ca7bcb0b4
149a5d5dac32
155385822713
hex2ee087a47c

201335481468 has 144 divisors (see below), whose sum is σ = 576276879360. Its totient is φ = 60956064000.

The previous prime is 201335481467. The next prime is 201335481517. The reversal of 201335481468 is 864184533102.

201335481468 is a `hidden beast` number, since 2 + 0 + 1 + 33 + 548 + 14 + 68 = 666.

201335481468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201335481467) 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 47 ways as a sum of consecutive naturals, for example, 12833253 + ... + 12848931.

Almost surely, 2201335481468 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 201335481468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288138439680).

201335481468 is an abundant number, since it is smaller than the sum of its proper divisors (374941397892).

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

201335481468 is a wasteful number, since it uses less digits than its factorization.

201335481468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16910 (or 16896 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 201335481468 in words is "two hundred one billion, three hundred thirty-five million, four hundred eighty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1201 1782 2402 2673 3564 3603 4804 5346 7206 10692 10809 13211 14412 15679 21618 26422 31358 32427 39633 43236 47037 52844 62716 64854 79266 94074 97281 118899 129708 141111 158532 172469 188148 194562 237798 282222 291843 344938 356697 389124 423333 475596 517407 564444 583686 689876 713394 846666 1034814 1070091 1167372 1269999 1426788 1552221 1693332 2069628 2140182 2539998 3104442 3210273 3809997 4280364 4656663 5079996 6208884 6420546 7619994 9313326 12841092 13969989 15239988 18626652 18830479 27939978 37660958 41909967 55879956 56491437 75321916 83819934 112982874 167639868 169474311 207135269 225965748 338948622 414270538 508422933 621405807 677897244 828541076 1016845866 1242811614 1525268799 1864217421 2033691732 2485623228 3050537598 3728434842 4575806397 5592652263 6101075196 7456869684 9151612794 11185304526 16777956789 18303225588 22370609052 33555913578 50333870367 67111827156 100667740734 201335481468