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148683504025 = 52722324792
BaseRepresentation
bin1000101001111000111…
…0100011100110011001
3112012210000020120220101
42022132032203212121
54414000434112100
6152145415255401
713512341634400
oct2123616434631
9465700216811
10148683504025
1158068a64251
122499597a561
13110368b9c64
1472a69b8637
153d0323186a
hex229e3a3999

148683504025 has 81 divisors (see below), whose sum is σ = 224667535071. Its totient is φ = 97318008480.

The previous prime is 148683504019. The next prime is 148683504029. The reversal of 148683504025 is 520405386841.

The square root of 148683504025 is 385595.

It is a perfect power (a square), and thus also a powerful number.

148683504025 is digitally balanced in base 2, 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., 53526061449 + 95157442576 = 231357^2 + 308476^2 .

It is not a de Polignac number, because 148683504025 - 219 = 148682979737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (148683504029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 310403736 + ... + 310404214.

Almost surely, 2148683504025 is an apocalyptic number.

148683504025 is the 385595-th square number.

148683504025 is the 192798-th centered octagonal number.

It is an amenable number.

148683504025 is a deficient number, since it is larger than the sum of its proper divisors (75984031046).

148683504025 is an frugal number, since it uses more digits than its factorization.

148683504025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 148683504025 in words is "one hundred forty-eight billion, six hundred eighty-three million, five hundred four thousand, twenty-five".

Divisors: 1 5 7 23 25 35 49 115 161 175 245 479 529 575 805 1127 1225 2395 2645 3353 3703 4025 5635 11017 11975 13225 16765 18515 23471 25921 28175 55085 77119 83825 92575 117355 129605 229441 253391 275425 385595 539833 586775 648025 1147205 1266955 1606087 1773737 1927975 2699165 5277143 5736025 6334775 8030435 8868685 11242609 12416159 13495825 26385715 36940001 40152175 44343425 56213045 62080795 121374289 131928575 184700005 258580007 281065225 310403975 606871445 849620023 923500025 1292900035 3034357225 4248100115 5947340161 6464500175 21240500575 29736700805 148683504025