Search a number
-
+
65505570621645 = 35711232237159937
BaseRepresentation
bin11101110010011101101000…
…10001001000100011001101
322120221021022211211020221010
432321032310101020203031
532041220402034343040
6351152502123555433
716540423051164540
oct1671166421104315
9276837284736833
1065505570621645
1119965835986600
12741b50308bb79
132a721c1bcc93b
1412266b50a0857
15788e3bec6e80
hex3b93b44488cd

65505570621645 has 96 divisors (see below), whose sum is σ = 131665690646784. Its totient is φ = 27222079610880.

The previous prime is 65505570621643. The next prime is 65505570621809. The reversal of 65505570621645 is 54612607550556.

It is not a de Polignac number, because 65505570621645 - 21 = 65505570621643 is a prime.

It is a super-3 number, since 3×655055706216453 (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65505570621643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409491117 + ... + 409651053.

It is an arithmetic number, because the mean of its divisors is an integer number (1371517610904).

Almost surely, 265505570621645 is an apocalyptic number.

It is an amenable number.

65505570621645 is an abundant number, since it is smaller than the sum of its proper divisors (66160120025139).

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

65505570621645 is a wasteful number, since it uses less digits than its factorization.

65505570621645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192211 (or 192200 counting only the distinct ones).

The product of its (nonzero) digits is 37800000, while the sum is 57.

The spelling of 65505570621645 in words is "sixty-five trillion, five hundred five billion, five hundred seventy million, six hundred twenty-one thousand, six hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1815 2541 4235 12705 32237 96711 159937 161185 225659 354607 479811 483555 676977 799685 1063821 1119559 1128295 1759307 1773035 2399055 2482249 3358677 3384885 3900677 5277921 5319105 5597795 7446747 8796535 11702031 12315149 12411245 16793385 19352377 19503385 26389605 27304739 36945447 37233735 58057131 58510155 61575745 81914217 96761885 135466639 136523695 184727235 290285655 406399917 409571085 677333195 2031999585 5155889069 15467667207 25779445345 36091223483 56714779759 77338336035 108273670449 170144339277 180456117415 283573898795 397003458313 541368352245 623862577349 850721696385 1191010374939 1871587732047 1985017291565 3119312886745 4367038041443 5955051874695 9357938660235 13101114124329 21835190207215 65505570621645