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149045996817 = 3261530951137
BaseRepresentation
bin1000101011001111010…
…1010110110100010001
3112020201021100010112100
42022303311112310101
54420221233344232
6152245404551013
713524333032604
oct2126365266421
9466637303470
10149045996817
1158234641473
1224a77252469
1311093a28533
1472dcbb833b
153d24e86c7c
hex22b3d56d11

149045996817 has 24 divisors (see below), whose sum is σ = 218863480680. Its totient is φ = 97714759680.

The previous prime is 149045996797. The next prime is 149045996849. The reversal of 149045996817 is 718699540941.

149045996817 is a `hidden beast` number, since 1 + 4 + 90 + 459 + 96 + 8 + 1 + 7 = 666.

149045996817 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 46908801 + 148999088016 = 6849^2 + 386004^2 .

It is not a de Polignac number, because 149045996817 - 210 = 149045995793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149045996417) 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, 2889073 + ... + 2940209.

It is an arithmetic number, because the mean of its divisors is an integer number (9119311695).

Almost surely, 2149045996817 is an apocalyptic number.

It is an amenable number.

149045996817 is a deficient number, since it is larger than the sum of its proper divisors (69817483863).

149045996817 is a wasteful number, since it uses less digits than its factorization.

149045996817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56513 (or 56510 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 149045996817 in words is "one hundred forty-nine billion, forty-five million, nine hundred ninety-six thousand, eight hundred seventeen".

Divisors: 1 3 9 61 183 549 5309 15927 47781 51137 153411 323849 460233 971547 2914641 3119357 9358071 28074213 271486333 814458999 2443376997 16560666313 49681998939 149045996817