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148906053954 = 23271627372623
BaseRepresentation
bin1000101010101101111…
…1100001000101000010
3112020100112000022000100
42022223133201011002
54414424422211304
6152223445303230
713521013401120
oct2125337410502
9466315008010
10148906053954
1158172649309
1224a38404b16
1311070a3b1c8
1472c838a910
153d17a42439
hex22ab7e1142

148906053954 has 48 divisors (see below), whose sum is σ = 368747488512. Its totient is φ = 42541386624.

The previous prime is 148906053953. The next prime is 148906053971. The reversal of 148906053954 is 459350609841.

148906053954 is a `hidden beast` number, since 1 + 48 + 9 + 0 + 60 + 539 + 5 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 148906053954.

It is not an unprimeable number, because it can be changed into a prime (148906053953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2014087 + ... + 2086709.

It is an arithmetic number, because the mean of its divisors is an integer number (7682239344).

Almost surely, 2148906053954 is an apocalyptic number.

148906053954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

148906053954 is an abundant number, since it is smaller than the sum of its proper divisors (219841434558).

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

148906053954 is a wasteful number, since it uses less digits than its factorization.

148906053954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88911 (or 88908 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 148906053954 in words is "one hundred forty-eight billion, nine hundred six million, fifty-three thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 16273 32546 48819 72623 97638 113911 145246 146457 217869 227822 292914 341733 435738 508361 653607 683466 1016722 1025199 1307214 1525083 2050398 3050166 4575249 9150498 1181794079 2363588158 3545382237 7090764474 8272558553 10636146711 16545117106 21272293422 24817675659 49635351318 74453026977 148906053954