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48084716270115 = 3257613911639851
BaseRepresentation
bin10101110111011100110000…
…11011101011001000100011
320022020212001112220211111200
422323232120123223020203
522300304444331120430
6250133451432012243
713062002044345230
oct1273563033531043
9208225045824450
1048084716270115
111435968284a988
125487182231083
1320aa4a542ccb5
14bc3454018787
15585bd920e460
hex2bbb986eb223

48084716270115 has 96 divisors (see below), whose sum is σ = 96839972416512. Its totient is φ = 21615668640000.

The previous prime is 48084716270083. The next prime is 48084716270131. The reversal of 48084716270115 is 51107261748084.

It is a happy number.

48084716270115 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 4 + 7 + 1 + 627 + 0 + 1 + 1 + 5 = 666.

It is not a de Polignac number, because 48084716270115 - 25 = 48084716270083 is a prime.

It is a super-3 number, since 3×480847162701153 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74829940 + ... + 75469790.

It is an arithmetic number, because the mean of its divisors is an integer number (1008749712672).

Almost surely, 248084716270115 is an apocalyptic number.

48084716270115 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48084716270115 is an abundant number, since it is smaller than the sum of its proper divisors (48755256146397).

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

48084716270115 is a wasteful number, since it uses less digits than its factorization.

48084716270115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643841 (or 643838 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 48084716270115 in words is "forty-eight trillion, eighty-four billion, seven hundred sixteen million, two hundred seventy thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 61 63 105 183 305 315 427 549 915 1281 2135 2745 3843 3911 6405 11733 19215 19555 27377 35199 58665 82131 136885 175995 238571 246393 410655 639851 715713 1192855 1231965 1669997 1919553 2147139 3199255 3578565 4478957 5009991 5758659 8349985 9597765 10735695 13436871 15029973 22394785 25049955 28793295 39030911 40310613 67184355 75149865 117092733 195154555 201553065 273216377 351278199 585463665 819649131 1366081885 1756390995 2458947393 2502457261 4098245655 7507371783 12294736965 12512286305 17517200827 22522115349 37536858915 52551602481 87586004135 112610576745 152649892921 157654807443 262758012405 457949678763 763249464605 788274037215 1068549250447 1373849036289 2289748393815 3205647751341 5342746252235 6869245181445 9616943254023 16028238756705 48084716270115