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64331631051345 = 32572322933872417
BaseRepresentation
bin11101010000010011000000…
…00001000100001001010001
322102210001011222102010211200
432220021200001010021101
531413002140022120340
6344453313204501413
716356543534400620
oct1650114001041121
9272701158363750
1064331631051345
1119552989674019
12726ba990aa869
1329b85a6756048
1411c594babb6b7
1576863012a330
hex3a8260044251

64331631051345 has 96 divisors (see below), whose sum is σ = 133036703534592. Its totient is φ = 28117829431296.

The previous prime is 64331631051307. The next prime is 64331631051349. The reversal of 64331631051345 is 54315013613346.

It is a happy number.

64331631051345 is a `hidden beast` number, since 6 + 4 + 3 + 3 + 1 + 631 + 0 + 5 + 1 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 64331631051345 - 211 = 64331631049297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 64331631051345.

It is not an unprimeable number, because it can be changed into a prime (64331631051349) 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, 14676577 + ... + 18548993.

It is an arithmetic number, because the mean of its divisors is an integer number (1385798995152).

Almost surely, 264331631051345 is an apocalyptic number.

It is an amenable number.

64331631051345 is an abundant number, since it is smaller than the sum of its proper divisors (68705072483247).

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

64331631051345 is a wasteful number, since it uses less digits than its factorization.

64331631051345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874751 (or 3874748 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 64331631051345 in words is "sixty-four trillion, three hundred thirty-one billion, six hundred thirty-one million, fifty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2293 2415 6879 7245 11465 16051 20637 34395 48153 52739 80255 103185 144459 158217 240765 263695 369173 474651 722295 791085 1107519 1845865 2373255 3322557 3872417 5537595 11617251 16612785 19362085 27106919 34851753 58086255 81320757 89065591 135534595 174258765 243962271 267196773 406603785 445327955 623459137 801590319 1219811355 1335983865 1870377411 3117295685 4007951595 5611132233 8879452181 9351887055 26638356543 28055661165 44397260905 62156165267 79915069629 133191782715 186468495801 204227400163 310780826335 399575348145 559405487403 612682200489 932342479005 1021137000815 1429591801141 1838046601467 2797027437015 3063411002445 4288775403423 7147959005705 9190233007335 12866326210269 21443877017115 64331631051345