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48055110660 = 223253179109013
BaseRepresentation
bin101100110000010011…
…101100110000000100
311121001001011120000100
4230300103230300010
51241404102020120
634024243444100
73320564462304
oct546023546004
9147031146010
1048055110660
111941a947997
129391686630
1346bab5002b
14247c2dd604
1513b3c6b490
hexb304ecc04

48055110660 has 144 divisors (see below), whose sum is σ = 152375408640. Its totient is φ = 12244227840.

The previous prime is 48055110641. The next prime is 48055110683. The reversal of 48055110660 is 6601155084.

48055110660 is a `hidden beast` number, since 4 + 80 + 5 + 511 + 0 + 6 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386314 + ... + 495326.

It is an arithmetic number, because the mean of its divisors is an integer number (1058162560).

Almost surely, 248055110660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48055110660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76187704320).

48055110660 is an abundant number, since it is smaller than the sum of its proper divisors (104320297980).

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

48055110660 is a wasteful number, since it uses less digits than its factorization.

48055110660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109138 (or 109133 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 48055110660 in words is "forty-eight billion, fifty-five million, one hundred ten thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 79 90 93 124 155 158 180 186 237 279 310 316 372 395 465 474 558 620 711 790 930 948 1116 1185 1395 1422 1580 1860 2370 2449 2790 2844 3555 4740 4898 5580 7110 7347 9796 12245 14220 14694 22041 24490 29388 36735 44082 48980 73470 88164 109013 110205 146940 218026 220410 327039 436052 440820 545065 654078 981117 1090130 1308156 1635195 1962234 2180260 3270390 3379403 3924468 4905585 6540780 6758806 8612027 9811170 10138209 13517612 16897015 17224054 19622340 20276418 25836081 30414627 33794030 34448108 40552836 43060135 50691045 51672162 60829254 67588060 77508243 86120270 101382090 103344324 121658508 129180405 152073135 155016486 172240540 202764180 258360810 266972837 304146270 310032972 387541215 516721620 533945674 608292540 775082430 800918511 1067891348 1334864185 1550164860 1601837022 2402755533 2669728370 3203674044 4004592555 4805511066 5339456740 8009185110 9611022132 12013777665 16018370220 24027555330 48055110660