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48118281840 = 24325312155837
BaseRepresentation
bin101100110100000100…
…101011011001110000
311121012110000222120200
4230310010223121300
51242021240004330
634034421435200
73322262434656
oct546404533160
9147173028520
1048118281840
1119452574382
1293aa86bb00
1346cac6a525
142486864dd6
1513b9598a60
hexb3412b670

48118281840 has 120 divisors (see below), whose sum is σ = 166810121088. Its totient is φ = 12417615360.

The previous prime is 48118281791. The next prime is 48118281847. The reversal of 48118281840 is 4818281184.

48118281840 is a `hidden beast` number, since 481 + 18 + 2 + 81 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48118281847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1055599 + ... + 1100238.

Almost surely, 248118281840 is an apocalyptic number.

48118281840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48118281840 is an abundant number, since it is smaller than the sum of its proper divisors (118691839248).

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

48118281840 is a wasteful number, since it uses less digits than its factorization.

48118281840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155887 (or 2155878 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The spelling of 48118281840 in words is "forty-eight billion, one hundred eighteen million, two hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 2155837 4311674 6467511 8623348 10779185 12935022 17246696 19402533 21558370 25870044 32337555 34493392 38805066 43116740 51740088 64675110 66830947 77610132 86233480 97012665 103480176 129350220 133661894 155220264 172466960 194025330 200492841 258700440 267323788 310440528 334154735 388050660 400985682 517400880 534647576 601478523 668309470 776101320 801971364 1002464205 1069295152 1202957046 1336618940 1552202640 1603942728 2004928410 2405914092 2673237880 3007392615 3207885456 4009856820 4811828184 5346475760 6014785230 8019713640 9623656368 12029570460 16039427280 24059140920 48118281840