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148755298104036 = 2232133153645129989
BaseRepresentation
bin100001110100101011001010…
…101100111011001011100100
3201111200212102111021002020200
4201310223022230323023210
5123444201322303312121
61244213123542430500
743222133650204131
oct4164531254731344
9644625374232220
10148755298104036
11434418498120a8
1214825934432430
136500745055bc0
1428a3b1b0a1588
15122e70008ca26
hex874acab3b2e4

148755298104036 has 288 divisors, whose sum is σ = 425974881346560. Its totient is φ = 43450452864000.

The previous prime is 148755298104013. The next prime is 148755298104071. The reversal of 148755298104036 is 630401892557841.

It is a happy number.

148755298104036 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 552 + 9 + 8 + 1 + 0 + 40 + 36 = 666.

148755298104036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4960313730 + ... + 4960343718.

It is an arithmetic number, because the mean of its divisors is an integer number (1479079449120).

It is a 1-persistent number, because it is pandigital, but 2⋅148755298104036 = 297510596208072 is not.

Almost surely, 2148755298104036 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 148755298104036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212987440673280).

148755298104036 is an abundant number, since it is smaller than the sum of its proper divisors (277219583242524).

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

148755298104036 is a wasteful number, since it uses less digits than its factorization.

148755298104036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36547 (or 36542 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 148755298104036 in words is "one hundred forty-eight trillion, seven hundred fifty-five billion, two hundred ninety-eight million, one hundred four thousand, thirty-six".