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148627874934 = 232711241449991
BaseRepresentation
bin1000101001101011101…
…0010110010001110110
3112012122010120100010200
42022122322112101312
54413342213444214
6152140111101330
713511065043430
oct2123272262166
9465563510120
10148627874934
115803a6192a0
122497b211846
1311028210636
14729d457650
153ced3e3d09
hex229ae96476

148627874934 has 192 divisors, whose sum is σ = 404459827200. Its totient is φ = 38320128000.

The previous prime is 148627874933. The next prime is 148627875017. The reversal of 148627874934 is 439478726841.

148627874934 is a `hidden beast` number, since 1 + 4 + 8 + 62 + 7 + 87 + 493 + 4 = 666.

148627874934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148627874933) 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 95 ways as a sum of consecutive naturals, for example, 149977179 + ... + 149978169.

It is an arithmetic number, because the mean of its divisors is an integer number (2106561600).

Almost surely, 2148627874934 is an apocalyptic number.

148627874934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148627874934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202229913600).

148627874934 is an abundant number, since it is smaller than the sum of its proper divisors (255831952266).

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

148627874934 is a wasteful number, since it uses less digits than its factorization.

148627874934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1704 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 148627874934 in words is "one hundred forty-eight billion, six hundred twenty-seven million, eight hundred seventy-four thousand, nine hundred thirty-four".