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148363190098201 = 1345775493308089
BaseRepresentation
bin100001101110111101111111…
…001111100101100100011001
3201110022101022210212120000001
4201232331333033211210121
5123421240303131120301
61243313035243213001
743151613105145351
oct4156757717454431
9643271283776001
10148363190098201
1143300525a98831
1214781944217161
1364a27867731c0
14288cb610cdb61
151224401457c01
hex86ef7f3e5919

148363190098201 has 16 divisors (see below), whose sum is σ = 160146621754000. Its totient is φ = 136632820681728.

The previous prime is 148363190098181. The next prime is 148363190098219. The reversal of 148363190098201 is 102890091363841.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9060407022601 + 139302783075600 = 3010051^2 + 11802660^2 .

It is a cyclic number.

It is not a de Polignac number, because 148363190098201 - 219 = 148363189573913 is a prime.

It is a super-2 number, since 2×1483631900982012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148363190398201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43194565 + ... + 46502653.

It is an arithmetic number, because the mean of its divisors is an integer number (10009163859625).

Almost surely, 2148363190098201 is an apocalyptic number.

It is an amenable number.

148363190098201 is a deficient number, since it is larger than the sum of its proper divisors (11783431655799).

148363190098201 is a wasteful number, since it uses less digits than its factorization.

148363190098201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316108.

The product of its (nonzero) digits is 2239488, while the sum is 55.

The spelling of 148363190098201 in words is "one hundred forty-eight trillion, three hundred sixty-three billion, one hundred ninety million, ninety-eight thousand, two hundred one".

Divisors: 1 13 457 5941 7549 98137 3308089 3449893 43005157 44848609 1511796673 19653356749 24972763861 324645930193 11412553084477 148363190098201