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148806985401 = 32971131508449
BaseRepresentation
bin1000101010010110010…
…1100110011010111001
3112020002121121002111200
42022211211212122321
54414224042013101
6152205550044413
713515401335404
oct2124545463271
9466077532450
10148806985401
1158121733678
1224a0b1a9709
1311056362669
1472b915cd3b
153d0dec3986
hex22a59666b9

148806985401 has 24 divisors (see below), whose sum is σ = 219081244200. Its totient is φ = 97312997376.

The previous prime is 148806985399. The next prime is 148806985417. The reversal of 148806985401 is 104589608841.

It is a happy number.

148806985401 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 0 + 6 + 98 + 540 + 1 = 666.

148806985401 is digitally balanced in base 2, 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 4 ways, for example, as 409455225 + 148397530176 = 20235^2 + 385224^2 .

It is not a de Polignac number, because 148806985401 - 21 = 148806985399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (148806985441) 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 23 ways as a sum of consecutive naturals, for example, 655576 + ... + 852873.

It is an arithmetic number, because the mean of its divisors is an integer number (9128385175).

Almost surely, 2148806985401 is an apocalyptic number.

It is an amenable number.

148806985401 is a deficient number, since it is larger than the sum of its proper divisors (70274258799).

148806985401 is a wasteful number, since it uses less digits than its factorization.

148806985401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508665 (or 1508662 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 148806985401 in words is "one hundred forty-eight billion, eight hundred six million, nine hundred eighty-five thousand, four hundred one".

Divisors: 1 3 9 97 113 291 339 873 1017 10961 32883 98649 1508449 4525347 13576041 146319553 170454737 438958659 511364211 1316875977 1534092633 16534109489 49602328467 148806985401