Search a number
-
+
64161045427328 = 2717411913765263
BaseRepresentation
bin11101001011010101010000…
…10100100011010010000000
322102011201212120110120120222
432211222220110203102000
531402203310112133303
6344243102150522212
716341324342460043
oct1645525024432200
9272151776416528
1064161045427328
1119497601517963
127242a10366368
1329a548c397995
1411bb5a8360c5a
15763e991a1938
hex3a5aa8523480

64161045427328 has 128 divisors (see below), whose sum is σ = 139366578032640. Its totient is φ = 29302774988800.

The previous prime is 64161045427321. The next prime is 64161045427337. The reversal of 64161045427328 is 82372454016146.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 64161045427328.

It is not an unprimeable number, because it can be changed into a prime (64161045427321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15157625 + ... + 18922887.

It is an arithmetic number, because the mean of its divisors is an integer number (1088801390880).

Almost surely, 264161045427328 is an apocalyptic number.

64161045427328 is a gapful number since it is divisible by the number (68) 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 64161045427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69683289016320).

64161045427328 is an abundant number, since it is smaller than the sum of its proper divisors (75205532605312).

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

64161045427328 is a wasteful number, since it uses less digits than its factorization.

64161045427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765526 (or 3765514 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 64161045427328 in words is "sixty-four trillion, one hundred sixty-one billion, forty-five million, four hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 191 272 328 382 544 656 697 764 1088 1312 1394 1528 2176 2624 2788 3056 3247 5248 5576 6112 6494 7831 11152 12224 12988 15662 22304 24448 25976 31324 44608 51952 62648 89216 103904 125296 133127 207808 250592 266254 415616 501184 532508 1002368 1065016 2130032 3765263 4260064 7530526 8520128 15061052 17040256 30122104 60244208 64009471 120488416 128018942 154375783 240976832 256037884 308751566 481953664 512075768 617503132 719165233 1024151536 1235006264 1438330466 2048303072 2470012528 2624388311 2876660932 4096606144 4940025056 5248776622 5753321864 8193212288 9880050112 10497553244 11506643728 12225808961 19760100224 20995106488 23013287456 24451617922 29485774553 41990212976 46026574912 48903235844 58971549106 83980425952 92053149824 97806471688 117943098212 167960851904 195612943376 235886196424 335921703808 391225886752 471772392848 501258167401 782451773504 943544785696 1002516334802 1564903547008 1887089571392 2005032669604 3774179142784 4010065339208 8020130678416 16040261356832 32080522713664 64161045427328