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148516539408 = 24321777892
BaseRepresentation
bin1000101001010001000…
…1101000110000010000
3112012100101001220111200
42022110101220300100
54413130213230113
6152121052511200
713505243520156
oct2122421506020
9465311056450
10148516539408
1157a92795266
1224949a7b500
131100b12b423
14728c7553d6
153ce3750873
hex2294468c10

148516539408 has 90 divisors (see below), whose sum is σ = 440145959994. Its totient is φ = 46587442176.

The previous prime is 148516539401. The next prime is 148516539419. The reversal of 148516539408 is 804935615841.

It is a happy number.

148516539408 is a `hidden beast` number, since 1 + 48 + 5 + 165 + 39 + 408 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 51852754944 + 96663784464 = 227712^2 + 310908^2 .

It is not an unprimeable number, because it can be changed into a prime (148516539401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19063578 + ... + 19071366.

Almost surely, 2148516539408 is an apocalyptic number.

148516539408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

148516539408 is an abundant number, since it is smaller than the sum of its proper divisors (291629420586).

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

148516539408 is an frugal number, since it uses more digits than its factorization.

148516539408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15609 (or 7811 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 148516539408 in words is "one hundred forty-eight billion, five hundred sixteen million, five hundred thirty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 7789 15578 23367 31156 46734 62312 70101 93468 124624 132413 140202 186936 264826 280404 373872 397239 529652 560808 794478 1059304 1121616 1191717 1588956 2118608 2383434 3177912 4766868 6355824 9533736 19067472 60668521 121337042 182005563 242674084 364011126 485348168 546016689 728022252 970696336 1031364857 1092033378 1456044504 2062729714 2184066756 2912089008 3094094571 4125459428 4368133512 6188189142 8250918856 8736267024 9282283713 12376378284 16501837712 18564567426 24752756568 37129134852 49505513136 74258269704 148516539408