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63281930481 = 3672116
BaseRepresentation
bin111010111011111001…
…011010000011110001
320001100020010011000000
4322323321122003301
52014100133233411
645023223220213
74400120351100
oct727371320361
9201306104000
1063281930481
1124924000000
1210320ba7669
135c766839a3
1430c46c8037
1519a5936956
hexebbe5a0f1

63281930481 has 147 divisors (see below), whose sum is σ = 121407017817. Its totient is φ = 32873730120.

The previous prime is 63281930471. The next prime is 63281930513. The reversal of 63281930481 is 18403918236.

The square root of 63281930481 is 251559.

It is a perfect power (a square), and thus also a powerful number.

63281930481 is a `hidden beast` number, since 6 + 3 + 2 + 81 + 93 + 0 + 481 = 666.

It is a tau number, because it is divible by the number of its divisors (147).

It is not a de Polignac number, because 63281930481 - 27 = 63281930353 is a prime.

It is a super-2 number, since 2×632819304812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63281930471) by changing a digit.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 5752902766 + ... + 5752902776.

Almost surely, 263281930481 is an apocalyptic number.

63281930481 is the 251559-th square number.

63281930481 is the 125780-th centered octagonal number.

It is an amenable number.

63281930481 is a deficient number, since it is larger than the sum of its proper divisors (58125087336).

63281930481 is an frugal number, since it uses more digits than its factorization.

63281930481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 63281930481 in words is "sixty-three billion, two hundred eighty-one million, nine hundred thirty thousand, four hundred eighty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 121 147 189 231 243 297 363 441 539 567 693 729 847 891 1089 1323 1331 1617 1701 2079 2541 2673 3267 3969 3993 4851 5103 5929 6237 7623 8019 9317 9801 11907 11979 14553 14641 17787 18711 22869 27951 29403 35721 35937 43659 43923 53361 56133 65219 68607 83853 88209 102487 107811 130977 131769 160083 161051 195657 205821 251559 307461 323433 392931 395307 480249 483153 586971 617463 717409 754677 922383 970299 1127357 1185921 1440747 1449459 1760913 1771561 2152227 2264031 2767149 3382071 3557763 4322241 4348377 5282739 5314683 6456681 6792093 7891499 8301447 10146213 10673289 12400927 13045131 15848217 15944049 19370043 23674497 24904341 30438639 37202781 39135393 47544651 47832147 58110129 71023491 74713023 86806489 91315917 111608343 117406179 143496441 174330387 213070473 260419467 273947751 334825029 430489323 522991161 639211419 781258401 821843253 1004475087 1291467969 1917634257 2343775203 3013425261 5752902771 7031325609 9040275783 21093976827 63281930481