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148921270272 = 214321009937
BaseRepresentation
bin1000101010110001100…
…1100100000000000000
3112020101120122100212200
42022230121210000000
54414442321122042
6152225151353200
713521256624425
oct2125431440000
9466346570780
10148921270272
11581801a1585
1224a41522800
1311073c38148
1472ca3cbd4c
153d1904ac4c
hex22ac664000

148921270272 has 90 divisors (see below), whose sum is σ = 430204299798. Its totient is φ = 49640374272.

The previous prime is 148921270271. The next prime is 148921270327. The reversal of 148921270272 is 272072129841.

148921270272 is a `hidden beast` number, since 14 + 89 + 21 + 270 + 272 = 666.

148921270272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 120503402496 + 28417867776 = 347136^2 + 168576^2 .

It is not an unprimeable number, because it can be changed into a prime (148921270271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 357513 + ... + 652424.

Almost surely, 2148921270272 is an apocalyptic number.

148921270272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148921270272 is an abundant number, since it is smaller than the sum of its proper divisors (281283029526).

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

148921270272 is an equidigital number, since it uses as much as digits as its factorization.

148921270272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009971 (or 1009942 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 148921270272 in words is "one hundred forty-eight billion, nine hundred twenty-one million, two hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 36864 49152 73728 147456 1009937 2019874 3029811 4039748 6059622 8079496 9089433 12119244 16158992 18178866 24238488 32317984 36357732 48476976 64635968 72715464 96953952 129271936 145430928 193907904 258543872 290861856 387815808 517087744 581723712 775631616 1034175488 1163447424 1551263232 2068350976 2326894848 3102526464 4136701952 4653789696 6205052928 8273403904 9307579392 12410105856 16546807808 18615158784 24820211712 37230317568 49640423424 74460635136 148921270272