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148973970600 = 2332527133472621
BaseRepresentation
bin1000101010111110001…
…0100110010010101000
3112020112020210211010200
42022233202212102220
54420044314024400
6152234313112200
713522466566620
oct2125742462250
9466466724120
10148973970600
11581a7a17074
1224a570b8660
1311081b2a680
1472d33c9880
153d1d9aab00
hex22af8a64a8

148973970600 has 576 divisors, whose sum is σ = 617769210240. Its totient is φ = 31329331200.

The previous prime is 148973970589. The next prime is 148973970661. The reversal of 148973970600 is 6079379841.

It is a happy number.

148973970600 is a `hidden beast` number, since 1 + 489 + 7 + 39 + 70 + 60 + 0 = 666.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 56837290 + ... + 56839910.

It is an arithmetic number, because the mean of its divisors is an integer number (1072515990).

Almost surely, 2148973970600 is an apocalyptic number.

148973970600 is a gapful number since it is divisible by the number (10) 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 148973970600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308884605120).

148973970600 is an abundant number, since it is smaller than the sum of its proper divisors (468795239640).

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

148973970600 is a wasteful number, since it uses less digits than its factorization.

148973970600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 148973970600 in words is "one hundred forty-eight billion, nine hundred seventy-three million, nine hundred seventy thousand, six hundred".