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145171685808 = 24331624920681
BaseRepresentation
bin1000011100110011101…
…0000010000110110000
3111212201021010201222000
42013030322002012300
54334302422421213
6150405125014000
713326326653332
oct2071472020660
9455637121860
10145171685808
11566266a5246
1224175854300
13108c7173306
147052421452
153b99c8cc73
hex21cce821b0

145171685808 has 80 divisors (see below), whose sum is σ = 416742300000. Its totient is φ = 48385244160.

The previous prime is 145171685803. The next prime is 145171685819. The reversal of 145171685808 is 808586171541.

145171685808 is a `hidden beast` number, since 1 + 4 + 51 + 7 + 1 + 6 + 8 + 580 + 8 = 666.

145171685808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1451716858082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (145171685803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7009228 + ... + 7029908.

It is an arithmetic number, because the mean of its divisors is an integer number (5209278750).

Almost surely, 2145171685808 is an apocalyptic number.

145171685808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145171685808 is an abundant number, since it is smaller than the sum of its proper divisors (271570614192).

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

145171685808 is a wasteful number, since it uses less digits than its factorization.

145171685808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36947 (or 36935 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 54.

The spelling of 145171685808 in words is "one hundred forty-five billion, one hundred seventy-one million, six hundred eighty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 16249 20681 32498 41362 48747 62043 64996 82724 97494 124086 129992 146241 165448 186129 194988 248172 259984 292482 330896 372258 389976 438723 496344 558387 584964 744516 779952 877446 992688 1116774 1169928 1489032 1754892 2233548 2339856 2978064 3509784 4467096 7019568 8934192 336045569 672091138 1008136707 1344182276 2016273414 2688364552 3024410121 4032546828 5376729104 6048820242 8065093656 9073230363 12097640484 16130187312 18146460726 24195280968 36292921452 48390561936 72585842904 145171685808