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148048522952 = 231128321492
BaseRepresentation
bin1000100111100001100…
…0010010111011001000
3112011010202102012121212
42021320120102323020
54411200410213302
6152002413352252
713460531452541
oct2117030227310
9464122365555
10148048522952
1157872593600
1224839198688
1310c65194105
1472465274c8
153cb7604052
hex2278612ec8

148048522952 has 108 divisors (see below), whose sum is σ = 310927778385. Its totient is φ = 66037801280.

The previous prime is 148048522939. The next prime is 148048522967. The reversal of 148048522952 is 259225840841.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 121637722756 + 26410800196 = 348766^2 + 162514^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=272074.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 148048522952.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 993614174 + ... + 993614322.

Almost surely, 2148048522952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148048522952

148048522952 is an abundant number, since it is smaller than the sum of its proper divisors (162879255433).

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

148048522952 is an equidigital number, since it uses as much as digits as its factorization.

148048522952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 50.

Multiplying 148048522952 by its sum of digits (50), we get a square (7402426147600 = 27207402).

The spelling of 148048522952 in words is "one hundred forty-eight billion, forty-eight million, five hundred twenty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 83 88 121 149 166 242 298 332 484 596 664 913 968 1192 1639 1826 3278 3652 6556 6889 7304 10043 12367 13112 13778 18029 20086 22201 24734 27556 36058 40172 44402 49468 55112 72116 75779 80344 88804 98936 136037 144232 151558 177608 244211 272074 303116 488422 544148 606232 833569 976844 1026461 1088296 1496407 1667138 1842683 1953688 2052922 2686321 2992814 3334276 3685366 4105844 5372642 5985628 6668552 7370732 8211688 10745284 11291071 11971256 14741464 20269513 21490568 22582142 40539026 45164284 81078052 90328568 124201781 152942689 162156104 222964643 248403562 305885378 445929286 496807124 611770756 891858572 993614248 1223541512 1682369579 1783717144 3364739158 6729478316 13458956632 18506065369 37012130738 74024261476 148048522952