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4934141568 = 2734677103
BaseRepresentation
bin1001001100001100…
…10000011010000000
3110201212110100210000
410212012100122000
540101120012233
62133335440000
7233162340246
oct44606203200
913655410700
104934141568
112102215654
12b58526000
136083101c5
1434b43a796
151dd297d13
hex126190680

4934141568 has 160 divisors (see below), whose sum is σ = 14905186560. Its totient is φ = 1619937792.

The previous prime is 4934141543. The next prime is 4934141581. The reversal of 4934141568 is 8651414394.

4934141568 is a `hidden beast` number, since 4 + 9 + 3 + 41 + 41 + 568 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 691105 + ... + 698207.

It is an arithmetic number, because the mean of its divisors is an integer number (93157416).

Almost surely, 24934141568 is an apocalyptic number.

4934141568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4934141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452593280).

4934141568 is an abundant number, since it is smaller than the sum of its proper divisors (9971044992).

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

4934141568 is an equidigital number, since it uses as much as digits as its factorization.

4934141568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7196 (or 7175 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 4934141568 is about 70243.4450180229. The cubic root of 4934141568 is about 1702.4349844178.

It can be divided in two parts, 49341 and 41568, that added together give a palindrome (90909).

The spelling of 4934141568 in words is "four billion, nine hundred thirty-four million, one hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 128 134 144 162 192 201 216 268 288 324 384 402 432 536 576 603 648 804 864 1072 1152 1206 1296 1608 1728 1809 2144 2412 2592 3216 3456 3618 4288 4824 5184 5427 6432 7103 7236 8576 9648 10368 10854 12864 14206 14472 19296 21309 21708 25728 28412 28944 38592 42618 43416 56824 57888 63927 77184 85236 86832 113648 115776 127854 170472 173664 191781 227296 231552 255708 340944 347328 383562 454592 475901 511416 575343 681888 694656 767124 909184 951802 1022832 1150686 1363776 1427703 1534248 1903604 2045664 2301372 2727552 2855406 3068496 3807208 4091328 4283109 4602744 5710812 6136992 7614416 8182656 8566218 9205488 11421624 12273984 12849327 15228832 17132436 18410976 22843248 24547968 25698654 30457664 34264872 36821952 38547981 45686496 51397308 60915328 68529744 73643904 77095962 91372992 102794616 137059488 154191924 182745984 205589232 274118976 308383848 411178464 548237952 616767696 822356928 1233535392 1644713856 2467070784 4934141568