Search a number
-
+
6059064133248 = 27372254116121
BaseRepresentation
bin101100000101011110001…
…0111011000011010000000
3210110020111121010101210220
41120022330113120122000
51243232430404230443
620515255020223040
71163516154235320
oct130127427303200
923406447111726
106059064133248
111a266a881aa15
1281a35439aa80
1334c4a0c46179
1416d39026b280
15a7924476a83
hex582bc5d8680

6059064133248 has 64 divisors (see below), whose sum is σ = 18393587555520. Its totient is φ = 1731161180160.

The previous prime is 6059064133247. The next prime is 6059064133249. The reversal of 6059064133248 is 8423314609506.

It is an interprime number because it is at equal distance from previous prime (6059064133247) and next prime (6059064133249).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 6059064133248.

It is not an unprimeable number, because it can be changed into a prime (6059064133247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127055373 + ... + 1127060748.

It is an arithmetic number, because the mean of its divisors is an integer number (287399805555).

Almost surely, 26059064133248 is an apocalyptic number.

It is an amenable number.

6059064133248 is an abundant number, since it is smaller than the sum of its proper divisors (12334523422272).

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

6059064133248 is a wasteful number, since it uses less digits than its factorization.

6059064133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254116145 (or 2254116133 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 6059064133248 in words is "six trillion, fifty-nine billion, sixty-four million, one hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 2254116121 4508232242 6762348363 9016464484 13524696726 15778812847 18032928968 27049393452 31557625694 36065857936 47336438541 54098786904 63115251388 72131715872 94672877082 108197573808 126230502776 144263431744 189345754164 216395147616 252461005552 288526863488 378691508328 432790295232 504922011104 757383016656 865580590464 1009844022208 1514766033312 2019688044416 3029532066624 6059064133248