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42160453259568 = 2437595573818201
BaseRepresentation
bin10011001011000001111101…
…10101110001000100110000
312112021111111110212222111220
421211200332311301010300
521011224102013301233
6225400124515305040
711610664222541340
oct1145407665610460
9175244443788456
1042160453259568
11124851698206a6
12488ab8a5ab180
131a6a937c66c77
14a5a810b48d20
154d1a5436aeb3
hex26583ed71130

42160453259568 has 160 divisors (see below), whose sum is σ = 126810735736320. Its totient is φ = 11820414105600.

The previous prime is 42160453259567. The next prime is 42160453259579. The reversal of 42160453259568 is 86595235406124.

It is not an unprimeable number, because it can be changed into a prime (42160453259567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9132868 + ... + 12951068.

It is an arithmetic number, because the mean of its divisors is an integer number (792567098352).

Almost surely, 242160453259568 is an apocalyptic number.

42160453259568 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 42160453259568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63405367868160).

42160453259568 is an abundant number, since it is smaller than the sum of its proper divisors (84650282476752).

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

42160453259568 is a wasteful number, since it uses less digits than its factorization.

42160453259568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818835 (or 3818829 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 60.

The spelling of 42160453259568 in words is "forty-two trillion, one hundred sixty billion, four hundred fifty-three million, two hundred fifty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 557 708 826 944 1114 1239 1416 1652 1671 2228 2478 2832 3304 3342 3899 4456 4956 6608 6684 7798 8912 9912 11697 13368 15596 19824 23394 26736 31192 32863 46788 62384 65726 93576 98589 131452 187152 197178 230041 262904 394356 460082 525808 690123 788712 920164 1380246 1577424 1840328 2760492 3680656 3818201 5520984 7636402 11041968 11454603 15272804 22909206 26727407 30545608 45818412 53454814 61091216 80182221 91636824 106909628 160364442 183273648 213819256 225273859 320728884 427638512 450547718 641457768 675821577 901095436 1282915536 1351643154 1576917013 1802190872 2126737957 2703286308 3153834026 3604381744 4253475914 4730751039 5406572616 6307668052 6380213871 8506951828 9461502078 10813145232 12615336104 12760427742 14887165699 17013903656 18923004156 25230672208 25520855484 29774331398 34027807312 37846008312 44661497097 51041710968 59548662796 75692016624 89322994194 102083421936 119097325592 125477539463 178645988388 238194651184 250955078926 357291976776 376432618389 501910157852 714583953552 752865236778 878342776241 1003820315704 1505730473556 1756685552482 2007640631408 2635028328723 3011460947112 3513371104964 5270056657446 6022921894224 7026742209928 10540113314892 14053484419856 21080226629784 42160453259568