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148638160053 = 353716639941
BaseRepresentation
bin1000101001101110000…
…1100101010010110101
3112012122211220212200000
42022123201211102311
54413402332110203
6152141115341513
713511251341255
oct2123341452265
9465584825600
10148638160053
1158045403699
1224982751899
131102a3a1bc6
1472a0973965
153cee2764a3
hex229b8654b5

148638160053 has 48 divisors (see below), whose sum is σ = 228829526016. Its totient is φ = 96346272960.

The previous prime is 148638160019. The next prime is 148638160079. The reversal of 148638160053 is 350061836841.

148638160053 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 38 + 1 + 600 + 5 + 3 = 666.

It is not a de Polignac number, because 148638160053 - 230 = 147564418229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 148638159990 and 148638160008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148638160093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14947063 + ... + 14957003.

It is an arithmetic number, because the mean of its divisors is an integer number (4767281792).

Almost surely, 2148638160053 is an apocalyptic number.

It is an amenable number.

148638160053 is a deficient number, since it is larger than the sum of its proper divisors (80191365963).

148638160053 is an equidigital number, since it uses as much as digits as its factorization.

148638160053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11656 (or 11644 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 148638160053 its reverse (350061836841), we get a palindrome (498699996894).

The spelling of 148638160053 in words is "one hundred forty-eight billion, six hundred thirty-eight million, one hundred sixty thousand, fifty-three".

Divisors: 1 3 9 27 37 81 111 243 333 999 1663 2997 4989 8991 9941 14967 29823 44901 61531 89469 134703 184593 268407 367817 404109 553779 805221 1103451 1661337 2415663 3310353 4984011 9931059 14952033 16531883 29793177 49595649 89379531 148786947 446360841 611679671 1339082523 1835039013 4017247569 5505117039 16515351117 49546053351 148638160053