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148399841529 = 3423218612
BaseRepresentation
bin1000101000110101010…
…0011110000011111001
3112012001020111001010000
42022031110132003321
54412410324412104
6152101323343213
713502325561132
oct2121524360371
9465036431100
10148399841529
1157a32929435
1224916981b09
1310cbcbbc524
14727b058c89
153cd839d639
hex228d51e0f9

148399841529 has 45 divisors (see below), whose sum is σ = 231865790079. Its totient is φ = 94580933040.

The previous prime is 148399841479. The next prime is 148399841591. The reversal of 148399841529 is 925148993841.

The square root of 148399841529 is 385227.

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

148399841529 is a `hidden beast` number, since 1 + 483 + 9 + 98 + 41 + 5 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159441129 + 148240400400 = 12627^2 + 385020^2 .

It is a de Polignac number, because none of the positive numbers 2k-148399841529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (148399821529) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 79741059 + ... + 79742919.

Almost surely, 2148399841529 is an apocalyptic number.

148399841529 is the 385227-th square number.

148399841529 is the 192614-th centered octagonal number.

It is an amenable number.

148399841529 is a deficient number, since it is larger than the sum of its proper divisors (83465948550).

148399841529 is an frugal number, since it uses more digits than its factorization.

148399841529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 1887 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 148399841529 in words is "one hundred forty-eight billion, three hundred ninety-nine million, eight hundred forty-one thousand, five hundred twenty-nine".

Divisors: 1 3 9 23 27 69 81 207 529 621 1587 1861 1863 4761 5583 14283 16749 42803 42849 50247 128409 150741 385227 984469 1155681 2953407 3463321 3467043 8860221 10389963 26580663 31169889 79656383 79741989 93509667 238969149 280529001 716907447 1832096809 2150722341 5496290427 6452167023 16488871281 49466613843 148399841529