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148445591630625 = 32541624512
BaseRepresentation
bin100001110000001010101110…
…110000011111001100100001
3201110121021000111220010011100
4201300022232300133030201
5123424113032424140000
61243414544030105013
743160561100465252
oct4160125660371441
9643537014803140
10148445591630625
1143332470563753
121479590034b169
1364aa4892ac303
142892b3aba6b29
1512266256a1a00
hex8702aec1f321

148445591630625 has 45 divisors (see below), whose sum is σ = 267942643477509. Its totient is φ = 79170494850000.

The previous prime is 148445591630563. The next prime is 148445591630657. The reversal of 148445591630625 is 526036195544841.

The square root of 148445591630625 is 12183825.

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

148445591630625 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 4 + 5 + 591 + 6 + 30 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11638134383841 + 136807457246784 = 3411471^2 + 11696472^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 148445591630625 - 227 = 148445457412897 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 913705650 + ... + 913868100.

Almost surely, 2148445591630625 is an apocalyptic number.

148445591630625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

148445591630625 is the 12183825-th square number.

148445591630625 is the 6091913-rd centered octagonal number.

It is an amenable number.

148445591630625 is a deficient number, since it is larger than the sum of its proper divisors (119497051846884).

148445591630625 is an frugal number, since it uses more digits than its factorization.

148445591630625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324928 (or 162459 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 148445591630625 in words is "one hundred forty-eight trillion, four hundred forty-five billion, five hundred ninety-one million, six hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 162451 487353 812255 1462059 2436765 4061275 7310295 12183825 20306375 36551475 60919125 101531875 182757375 304595625 913786875 26390327401 79170982203 131951637005 237512946609 395854911015 659758185025 1187564733045 1979274555075 3298790925125 5937823665225 9896372775375 16493954625625 29689118326125 49481863876875 148445591630625