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148692521952 = 253213219160789
BaseRepresentation
bin1000101001111011000…
…0111101001111100000
3112012210122012202011200
42022132300331033200
54414010241200302
6152150340441200
713512511403622
oct2123660751740
9465718182150
10148692521952
1158073063587
12249989a9200
1311038726800
1472a7c84c12
153d03e1381c
hex229ec3d3e0

148692521952 has 216 divisors, whose sum is σ = 481974456600. Its totient is φ = 43343299584.

The previous prime is 148692521927. The next prime is 148692521953. The reversal of 148692521952 is 259125296841.

148692521952 is a `hidden beast` number, since 1 + 4 + 8 + 69 + 2 + 521 + 9 + 52 = 666.

148692521952 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 (148692521953) 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 35 ways as a sum of consecutive naturals, for example, 844374 + ... + 1005162.

It is an arithmetic number, because the mean of its divisors is an integer number (2231363225).

Almost surely, 2148692521952 is an apocalyptic number.

148692521952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148692521952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240987228300).

148692521952 is an abundant number, since it is smaller than the sum of its proper divisors (333281934648).

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

148692521952 is a wasteful number, since it uses less digits than its factorization.

148692521952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160850 (or 160826 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 148692521952 in words is "one hundred forty-eight billion, six hundred ninety-two million, five hundred twenty-one thousand, nine hundred fifty-two".