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7741745628136 = 23133747382311197
BaseRepresentation
bin111000010101000001111…
…1111111000001111101000
31000102002210120020000020121
41300222003333320033220
52003320043340100021
624244301524333024
71426215450035332
oct160520377701750
930362716200217
107741745628136
11251528a642263
12a5049ab44174
134420746ab880
141ca9b98aa452
15d65a9656741
hex70a83ff83e8

7741745628136 has 128 divisors (see below), whose sum is σ = 16402214062080. Its totient is φ = 3401379910656.

The previous prime is 7741745628131. The next prime is 7741745628143. The reversal of 7741745628136 is 6318265471477.

It is not an unprimeable number, because it can be changed into a prime (7741745628131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691406890 + ... + 691418086.

It is an arithmetic number, because the mean of its divisors is an integer number (128142297360).

Almost surely, 27741745628136 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 7741745628136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201107031040).

7741745628136 is an abundant number, since it is smaller than the sum of its proper divisors (8660468433944).

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

7741745628136 is a wasteful number, since it uses less digits than its factorization.

7741745628136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15123 (or 15119 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 61.

The spelling of 7741745628136 in words is "seven trillion, seven hundred forty-one billion, seven hundred forty-five million, six hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 37 47 52 74 94 104 148 188 296 376 481 611 962 1222 1739 1924 2444 3478 3823 3848 4888 6956 7646 11197 13912 15292 22394 22607 30584 44788 45214 49699 89576 90428 99398 141451 145561 179681 180856 198796 282902 291122 359362 397592 414289 526259 565804 582244 718724 828578 1052518 1131608 1164488 1437448 1657156 1838863 2105036 2335853 3314312 3677726 4210072 4671706 5385757 6648197 6841367 7355452 9343412 10771514 13296394 13682734 14710904 18686824 19471583 21543028 26592788 27365468 38943166 42806131 43086056 53185576 54730936 77886332 85612262 86426561 155772664 171224524 172853122 253130579 342449048 345706244 506261158 556479703 691412488 1012522316 1112959406 1583826847 2011888157 2025044632 2225918812 3167653694 4023776314 4451837624 6335307388 8047552628 12670614776 16095105256 20589749011 26154546041 41179498022 52309092082 74439861809 82358996044 104618184164 148879723618 164717992088 209236368328 297759447236 595518894472 967718203517 1935436407034 3870872814068 7741745628136