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148071542382 = 23244344941357
BaseRepresentation
bin1000100111100111000…
…0000110111001101110
3112011012100201201100100
42021321300012321232
54411222303324012
6152004555011530
713461231225561
oct2117160067156
9464170651310
10148071542382
1157884586425
1224844a39ba6
1310c69b9398a
1472495da4d8
153cb964e8dc
hex2279c06e6e

148071542382 has 48 divisors (see below), whose sum is σ = 322269807600. Its totient is φ = 49134898176.

The previous prime is 148071542371. The next prime is 148071542383. The reversal of 148071542382 is 283245170841.

148071542382 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 71 + 542 + 38 + 2 = 666.

148071542382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148071542383) 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 23 ways as a sum of consecutive naturals, for example, 3559648 + ... + 3601004.

It is an arithmetic number, because the mean of its divisors is an integer number (6713954325).

Almost surely, 2148071542382 is an apocalyptic number.

148071542382 is an abundant number, since it is smaller than the sum of its proper divisors (174198265218).

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

148071542382 is a wasteful number, since it uses less digits than its factorization.

148071542382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42257 (or 42254 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 148071542382 in words is "one hundred forty-eight billion, seventy-one million, five hundred forty-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 443 449 886 898 1329 1347 2658 2694 3987 4041 7974 8082 41357 82714 124071 198907 248142 372213 397814 596721 744426 1193442 1790163 3580326 18321151 18569293 36642302 37138586 54963453 55707879 109926906 111415758 164890359 167123637 329780718 334247274 8226196799 16452393598 24678590397 49357180794 74035771191 148071542382