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148438038656 = 273103337369
BaseRepresentation
bin1000101000111110011…
…0001011100010000000
3112012010220100122201102
42022033212023202000
54413000114214111
6152105210153532
713503301340045
oct2121746134200
9465126318642
10148438038656
1157a52448506
12249277228a8
1310cc7aa458b
14728215d1cc
153cdb8e613b
hex228f98b880

148438038656 has 32 divisors (see below), whose sum is σ = 295733847900. Its totient is φ = 74214641664.

The previous prime is 148438038613. The next prime is 148438038709. The reversal of 148438038656 is 656830834841.

148438038656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 139714478656 + 8723560000 = 373784^2 + 93400^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3953540 + ... + 3990908.

Almost surely, 2148438038656 is an apocalyptic number.

148438038656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

148438038656 is a deficient number, since it is larger than the sum of its proper divisors (147295809244).

148438038656 is an equidigital number, since it uses as much as digits as its factorization.

148438038656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68416 (or 68404 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 148438038656 in words is "one hundred forty-eight billion, four hundred thirty-eight million, thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 31033 37369 62066 74738 124132 149476 248264 298952 496528 597904 993056 1195808 1986112 2391616 3972224 4783232 1159672177 2319344354 4638688708 9277377416 18554754832 37109509664 74219019328 148438038656